Am I overreacting??

My MIL has never been welcoming to me. She basically only comes around holidays and thinks that spending hundreds of dollars on gifts should take the place of any quality time. She suddenly changed when I was pregnant. She would touch my belly in front of other family members and act like we were so close when the only time I see her is holidays or once a month if we are lucky. She tries to communicate through my husband for everything.. even when I was pregnant she texted my husband to ask questions about OB appointments he wasn’t even at or how far along I am, etc.. He has had multiple conversations with her which have lasted maybe a couple weeks.
Fast forward to having a baby she tried to tell us when she would be coming to see the baby. I sucked it up because she never come around before. This lasted maybe 2-3 months. Keep in mind she works 20 minutes from our house and never stops by. She only communicates with my husband and continues to exclude me and treat me as competition. She tries to be warm and fuzzy with our baby and I just can’t stand it. I try to hold the baby as much as possibly because I don’t trust someone who treats me that way. In a sense I don’t want to block a relationship with a grandparent, but on another hand she never comes around except for holidays when she wants to act as if we are super close but my baby hardly knows her.. Am I overreacting?