Like Pee Wee said, its not impossible but hard to believe that Cordia is involved (at least for my analisis). When Cordia avoid giving you information, why is that? and why is she the only one that gives you some info about the photo and your family?
I think that something bad happened in the past, and the current situation made you a target (or maybe some intel made you a target) so she wanted to protect you (maybe guilty, or perhaps in debt?). She cant tell you because you probably will react negatively for some reason, but i think the main reason is Wilfred advice.
But there are some things that go against this theory. Even if Cordia wasnt aware of the car at the beggining of the game (and Wilfred didnt say a thing to her), after the poison in the main house she doesnt act different, so in this part i believe that she was aware that Wilfred made that (and she accepted his motives after explaining). Then again the intent of assasination in the main house by a killer, that means Cordia failing again in her "duty" to protect you (but nothing changed?).
So, or Cordia knew what Wilfred was trying to do and she allowed it. Or all of this is a red flag op. Or those are normal things that happened.
But after reading the theory of Pee Wee (
https://f95zone.to/threads/the-deluca-family-v0-07-2-hopesgaming.15459/post-7661044), i think that he is right, if all of this is on porpuse by any reason (planned, or part of the deal with your mother, or trying to show you how bad is the mafia world) it makes a lot of sense with the info we have at this point and explains a lot of actions made (and the ones that they didnt).