When would you decline a kids birthday party because your child was sick?

We have a first birthday party to go to tomorrow and I expect a lot of children under 5 will be attending. My LO has what seems to be a mild cold, with a runny nose and a loud cough (no fever). I would probably send her to daycare but I am not sure about bringing her to the party... What have you done/would you do in this situation?

Edited to add a poll