“Can I hold your baby?”

So I need some help/advice. A bit of background and context, I grew up different to my partner in that if you want to hold someones baby you wait for the parents to offer, you don’t ask. I had my first child 10 months ago and had a week long stay in hospital after which involved a lot of visits from my parents as well as my partners parents and siblings. Due to being in hospital I developed this fear of someone taking my child away and of people holding them as they were constantly being taking out my arms for testing and to be held by family members despite my discomfort. I was wondering if anyone has any advice or ways in which I can say ‘no’ to people holding my child if I was to have a second. Also if anyone can explain why people are so desperate to hold other people’s babies? I don’t get it 🙈