How do I tell if my baby has pink eye

My sweet girl is 5 months old and she's just getting over a little cold. I noticed yesterday that her right eye was really watery and last night and this morning she's been rubbing it and now has yellow goobers. I've been putting a warm compress on it every couple hours and I put a couple drops of breast milk in it about 20 mins ago. It's not really red...just watery and gunky but I can tell it's bugging her. Can it wait until Monday to see her doctor if it's pink eye or an infection or should I take her to a walk in clinic today??