We struggled with that when our twins were premature newborns. Then we got all these stickers and tags for their stroller, car seat, etc. that said dont touch we are fragile and can get sick something like that. Once we saw that most people reacted fine to that, it got easier to say no. But yeah it’s tough you have to make an honest effort. But it’s only short term feeling of awkwardness your daughter is for always :)