Alessandra is dangerous and needs to be stopped, but so far I haven't seen any hint that she wants to kill her "new sister" Olivia or even Kane, who are in no small part the focus of the entire Gambit.
Oof, does this game ever need a Wiki, so forgive me if I mess something up. Let's step back a bit, and bear in mind that I only play as a Dom Kane, so I don't know the story elements from a sub perspective. Alexander Karlsson believed the "perfect human" (for lack of a better term) would be the result of his and Callista's genes, but Callista wasn't up for the match and left with his daughter by Elena, Olivia, and gave birth to Kane by another man. With the loss of Callista, Alexander focused on further building his empire, and hoping for a male heir to carry on his legacy, but he sired only daughters whom he eventually involved in the company, but he never felt that any of them was "right" to be declared heir. Eventually, he learns of Callista's whereabouts, as well as Olivia and Kane, with the possibility that Callista or Alexander made contact before his death concerning the Gambit, as Callista seems to be too heavily in the know about what is going on. For some reason (again, Dom) Alexander seems to have formatted the Gambit in such a way as to see if Kane truly is the male heir Alexander could confidently bequeath the keys to the empire, and then the "top sister" would become his "queen," thus fulfilling Alexander's dream of combining his genes (via his daughter) with Callista's (via Kane). However, if Kane proved to be ill-fitting for the position, the top job would defer to the top sister, and the dream would be lost, but the company would live on. Callista of course would have a vested interest in seeing her son ascend to the "throne," and thus is doing what she can to make that a reality.
Alexander called all the shots, so no one, not even his own daughters, dared to go against his will, but now that he is dead, and with the Gambit at play, the sisters, save for Veronica, are now all vying for the top spot, which means beating out their sisters. There is also a sense of self-preservation, as even if they let their sister have the prize, there's a possibility the winner will just kill them to eliminate any potential challenges or competition down the road. All the players (board members, Elena, Katsumi and her sister, the other female guards, DeKocks, etc.) know that no one can gain an edge over the competition unless they are allied with Veronica, so she is not regarded as a threat, but rather an asset that some want to gain (Dominique), while others do not feel the necessary concessions are worth the reward (Juliette) thus "toleration" rather than "alliance" is the goal. Then finally the juggernaut of the Gambit is revealed to the board: Callista has been hiding Olivia, a long-lost sister, and Kane, whom Alexander wants to test for the top position. Now the three sisters who thought they just had each other to contend with, with the rest all trying to gain advantage from the fresh power moves and fluctuations, have to figure out who and what these two unknowns are, why Alexander is giving them special treatment, and whether they will be an enemy or ally to their respective causes. With the surprise Olivia, the "top spot" seems less certain, but if Kane fulfills what they well know to be their father's wishes, then it shouldn't be too hard to convince Kane to make one of them "queen," as they constantly have males salivating over them, they just have to (again) beat out the competition of their sisters, and none of them are above using their underlings as "bait" and "persuasion". However, now Olivia is an even bigger threat as soon as it's revealed that she and Kane are NOT blood siblings, as the two of them have grown up together Olivia is therefore relationally and emotionally closer to Kane than any of the other sisters, thus she has a major lead in swaying her "brother's" heart, whether to herself, or someone else.
In the game, Dominique goes to Juliette to share her concerns that Olivia, or more precisely whoever is controlling/influencing Olivia, is such a threat to their respective wants that their mutual self-preservation necessitates that the sisters who are most opposite form an uneasy alliance to combat this threat. Who then is the threat? Katsumi was just promoted to a rank of involvement, so she wouldn't be an influential threat, and her sister has no interest in promotion. Elena would be a viable threat, considering her influence, board position, and being Olivia's mother, however, the player (through Olivia) sets Elena's attitude and behavior, thus either ensuring the threat or eliminating it. This leaves Alessandra, who indeed oversaw retrieving Olivia and showing her the ropes of her new position, thus enabling her "groundfloor" access to influencing Olivia before any of the other sisters have the chance to even see the girl. On the spectrum of willingness to kill, Alessandra and Juliette are tied; what differentiates them is Juliette will do it just out of fun and enjoyment, so she won't instigate a "boring" kill, whereas Alessandra is more like a bull, mowing down anyone who gets in her way. As none of the sisters know who or what Olivia is, and they know that she is somehow related to winning the Gambit, Alessandra and the others won't strike at Olivia until either a) she becomes a threat to their success, b) her usefulness in the Gambit becomes discovered and non-beneficial to a particular sister or c) the sister believes Olivia is aligning too much with the competition and thus it's time to sabotage the whole Gambit or at least the leader's position. For all of the sisters who are willing to kill their competition, killing a non-allied Olivia is indeed the logical first step as she is the only one who isn't suspecting an assassination, whereas Alessandra, Dominique, and Juliette are all watching each other out of the corners of their eye, while Veronica sits comfortably, focused on her science, and knowing she's too important and unambitious for anyone to try to target her.
