Would you allow someone to see your kid even after they hurt or traumatized you?

Let’s say a family member on your side or your partners side hurt you deeply through years of control and abuse emotionally. You’ve tried to move on from it all and the abusing relative gets along with your child. You yourself don’t trust this person because of the trauma they conflicted. You decided you no longer want a relationship with that person so you can properly start healing rather than forcing yourself to be around them for the sake of the child. Again this is not the father of child just relative. You will look like your punishing them for what they did to you by not allowing child around them but you’d feel most comfortable having child with you at least until you get better. What would you do? Would you let them see pictures of your child through social media even after distancing them? What are your views? I suffer from complex ptsd, anixiety, and depression btw.