Open Question: Am I the one causing trouble?

So I’m living with my mother-in-law until I get some loans paid off. I thought my sister-in-law and I were friends until my daughter turned a month old. Then she started telling me what I could and could not do with my daughter and making nasty comments basically stating that she thinks I am a bad mom. When I have taken care of more kids than she has, and she doesn’t even want kids. Once I went on an outing and was gone for 6 hours, she was saying I probably didn’t bring enough formula for my daughter and she’d be screaming her head off the whole time. This was while I was breast feeding but giving her formula at night because I was weak from 2 surgeries. Another time we were going out to have dinner with my brother-in-law and she was telling me when to have my daughter home by and said that someone had to look out for my daughter. Oh and I dared to give my daughter a pacifier for bedtime at 3 months old, so clearly that means she will have it until she is 3 years old. She stopped taking it when she started teething at 4 months. One time she heard myself and my husband talking about how we are both left handed and our daughter was going to be a freak like us, we didn’t hear the end of that one for a month. She likes calling my daughter AJ, when we asked her not to call her that, she told us she was going to call her what she wanted and that we shouldn’t have named her what we did if we didn’t want her to be called that. I get that she may pick up a nickname, but we want our daughter to decide for herself not be forced to grow into it. Anyways, after she finally moved out, I decided I had enough and do not want her in my life or my daughter’s to avoid hurt and conflict. However, I am told that this one aunt, whom has hurt everyone in her life with no remorse, is important to my daughters life and that I should just forget about what she has done because I’m not getting an apology. I really don’t care about an apology because it would be empty anyway. I just don’t want her hurting my daughter, like she has every other family member of her own. Yet some of my in-laws think that it is wrong to want nothing to do with this person and that I don’t want her around my daughter. I’m not stopping their relative from visiting them or from going to their holidays. I really don’t feel like it’s any of their business since they are not involved in it. I don’t hate this person, either. That would be giving her value that I no longer have for her. I do not care about her. I do not want anything to do with her. She is a stranger no matter what label she has attached to herself. I just wish I knew that sooner to avoid the hurt.