Mom playing victim when asked questions about MY baby

Maybe this isnt a big deal and I'm over reacting because of exhaustion but the other day my mom told me she had a cough and was worried about pneumonia. 2 days prior she saw my baby. (My baby was in her carseat and she didnt hold her but got close to her) my baby yesterday had a slight cough so I asked her if she coughed near my baby and if she went to the med center and if she was contagious? She then proceeded to say "I would never put my granddaughter in danger and it hurts my feelings you would think that. I never held her. You went over to see friends the same day you saw me. Your friends probably got her sick." Mind you everyone I saw was healthy except my mom that day. I went off saying I literally was just asking questions because RSV and flu season are high in my area and need to know if I have to bring her in if it gets worse. She goes your SIL kisses her all the time and I dont see you blaming her for anything. I'm so hurt by you.... My SIL kissed her once on the cheek without my knowledge (she posted pictures that's how I found out) i then told her to stop.

Am I overreacting by getting upset that she said I hurt her feelings because she thinks I'm blaming her when I clearly stated I was just asking questions?

Ps. She wants to babysit Saturday and said she would clean everything and wear a mask. Told husband about it and he doesnt feel comfortable her watching our baby and wants his mom to do it. Knowing my mom she will have a meltdown and continue to pull I'm not contagious and of course you'd bring her to your MIL house she watches her more than me.