My older cat is a siamese (don't know if that's what makes the difference or just being her) and is really nosy about new stuff, including people and babies and has to go investigate, she's learnt that babies and toddlers are noisy, leak fluid (she doesn't like wet) and grab at you so she stays well clear of under 5s
The little cat, freaks at new things, she stops dead, does her wee halloween cat impression then gradually works herself up into investigating over a period of a few days, the new cat scratcher got that reaction, new living room furniture almost made her apoplectic
and yep visiting babies also ARE NEW, LOOK NEW i TELL YOU and so completely terrifying and suspicious even though I have children, lol
My friend's toddler had a tantrum last week, I genuinely don't know who was more upset, the toddler or the little cat, rofl
They'll get used to her, notice she drops food which is good, and grabs which is bad - and accept her later as a little person