Baby cold advice

My daughter is 5 weeks and I think she has caught my cold 😣. she occasionally makes these snorting sounds. I breastfeed and I was concerned that she might not be able to breathe but she seems to be breathing fine. No change in appetite and she is otherwise fine in herself and does not have a temperature. If she does have my cold it is very very mild. I have raised the cot bed but I haven’t done anything else (baby calpol is minimum 2 months).

Do I need to go to the doctors? Do I wait and see if she develops any other symptoms? How bad do colds get in newborns?