am I being petty?

So my brother in law is a cheating asshole. We've all been having to suck up his presence for the sake of my sister in law, okay, fine. But last weekend he held my baby and I feel like someone should have pulled me aside and asked me if I was okay with that, but instead I'm looking across the room and she's being passed off to him like it's no big deal. I'm so annoyed about it, I want to scream. He's got a lot of nerve knowing how mad we all are at him (my sister in law informed the entire family about his infidelity). I feel like my baby was being used as a pawn for him to show he wants to still be a part of the family, yet he hasn't told the family he's sorry for hurting their daughter/sister/sister in law. But here's my pure little girl being held by exactly what I want to protect her from, a narcissistic self absorbed prick who thinks it's fine and dandy to hold a baby without any humility for the situation. There's a lot more to it, but it's gotten under my skin so deep. We can't say we feel disrespected cuz we'd be the assholes for making my sister in law's life more difficult, but there's a lot of respect being overlooked for her sake, I'm sick of it