I would make sure your daycare can or will accomodate the drainage. Some homes (who can have the luxury of deciding for themselves...one of the perks of self ownership...we get to make the rules), may not..others, no problem.
Centers are likely to have a more "written in stone" ruling or policy.
For my own home childcare, I still reserve the right to require a child to be out of childcare if they can not function within the group with their illness, regarless of fever, meds, etc. If the drainage was excessive and requiring and over-much amount of my attention to keep it off of things and others, etc..or if the child was really uncomfortable, whiny and just...well, not wanting to function in a group setting, they may need to be out of childcare another day or 2.
All depends around here!
Good luck and I hope you young one feels better soon!