Overprotective reaction to my MIL?

My son was born Saturday night. When my MIL heard I was in labor she came to the hospital and waited for 5 hours in the waiting room for him to be delivered. When he was born and we invited in visitors, she immediately asked for a mask. Our nurse asked her why she needed one and she said she had been sick for a week with a sinus infection and was on antibiotics (we were not aware). My nurse told her she should not have come if she was sick and my MIL became upset and left immediately without seeing the baby. My husband called her yesterday to see how she was feeling and suggest that she ask her doctor if it was okay for her to be with the baby since she was on medication. She refused and said she will not be coming to the hospital because of hoe she was treated and is not going to ask permission from her Dr. to see her grandson. I can imagine in the moment she felt sad and embarassed and can empathize with her, but now I'm pissed because I think she should be putting more thought into her grandsons health than her ego. Ive told my husband she cannot visit without an all clear from the doctor, even if it upsets her, and i am planning on sticking to it. My husband feels bad for her and wants to allow her to come hold him without her having to contact the DR first, as long as she gets a mask. I am absolutely not ok with that plan. Am I being overprotective?