Louise, on the other hand, is a bit too naive, and too close to her emotions, while having little control over them - both which make a person very easy to manipulate. She assumes the worst of Stan (regarding her panties) without evidence because she doesn't like him, she assumes the worst about Ivy (as the one who she believes tempted Jeremy) simply because she doesn't like her, and she believed the best about Jeremy until she has irrefutable evidence in the photo Ivy shows her, because she doesn't want to believe that he's a POS. She also jumps into bed with Lena on the rebound simply because Lena is nice to her and there for her (and because she clearly looks up to her). She's very easy to manipulate - Lena could get Louise to do anything in her vulnerable state, if she wanted to.
That's an accurate character analysis, but it doesn't take into account relationship between Louise and Ivy. Louise hates Ivy, probably even more so than Stan. And under no circumstances would she be willing to do anything sexual with her, ESPECIALLY if Ivy is in control. If anything, she would be willing to please Lena by letting her, and only her, dominate her. The moment Ivy steps out of line and makes her uncomfortable, it would be a deal breaker. And ALSO...
The game night shows that Louise has fun ordering Ivy around, because she hopes to make Ivy uncomfortable, but to her dismay, Ivy is a total brat and is very proud of her sexuality and is open to nearly everything. Whenever it's her turn to spin the bottle, it always ends with Louise having to dare Ivy to do something, and she has this triumphant face before asking her if Ivy had any body modifications or before ordering her to strip naked. But Ivy also has fun accepting the challenge and showing Louise that she's not that creative and she needs to try harder if she wants to make her yield. But when Lena dares Louise to lick Ivy's feet, it's a hard stop for her, because she won't let herself be humiliated like that, it's not her kink.
That's why I can totally imagine their lesbian pairing where Ivy lets Louise be in charge, merely out of curiosity to see what Louise would want to do, and it'd be fun for her regardless, because, at the very least, Lena would also be involved, and that means that if sex with Louise turns out to be a bummer, Lena will certainly make up for that. Maybe Ivy actually wants to dominate Lena for the first time, but Lena tells that she can do it only if she agrees to please Louise and be her sub for a night (because she believes it might help with their rivalry).
After all, the main source of conflict is that Louise believes Ivy to be a homewrecker slut who only cares about herself, and Ivy thinks Louise to be boring. A role reversal might help them bond. If Louise comes up with some decent orders and challenges, Ivy might realize that Louise has potential, while Louise after domming Ivy and fucking her frustrations away, might feel less threatened by her company and could understand why Lena and Ivy get along. Lena might have to take one for the team to make it happen.