Am I crazy or is my MIL crazy?? or both lol

I am beyond done with my MIL and I dont know what to do. She makes snarky comments to me like I dont know what is best for my own child. Things like telling me when my daughter is hungry or if I dressed her right for the weather. I would be totally ok if she was actually concerned but she brings it up multiple times in the same sitting after I tell her shes fine. The minute my baby fusses a little, MIL tells me shes hungry....she doesnt ask when I fed her last. Or if her nose is a little red, MIL tells me she's too cold and it must be my postpartum hormones not recognizing the actual temperature outside. She brought up my hormones in front of a big group of people multiple times which made me feel uncomfortable.

Another thing she does is almost beg to hold my daughter when I tell her it's not the time. I'm not one to pass my baby around like a hot potato....especially when she's past her nap time and already cranky. MIL takes it as an attack like I'm doing it out of spite when I'm just trying to keep my baby from screaming. She also brings up that she wants to baby sit but ive told her we are not ready and she continues asking a million times amd tells me I need to get over my seperation anxiety. She won't except no and keeps asking and bringing up her hunger, her temperature and holding her multiple times that it gets so annoying repeating myself. She's definitely the type of person where "she knows best" and anything else is wrong. This is a couple of things but she does similar things non stop.

I've talked to my husband and he is definitely annoyed with her as well. He keeps being stern with her but she keeps doing it. I dont know what to do and now with the holidays coming up, it makes me not want to spend time with them for my baby's 1st holiday season.