My daughter has a runny nose, and a little bit of pus occasionally collects in the corner of one eye…

My daughter has a runny nose, and a little bit of pus occasionally collects in the corner of one eye. It's very minor... No redness, and it doesn't itch. She probably caught a chill outside. Should I use eye drops? (I'm starting to lose my mind a little). None of the other kids got sick with such a runny nose at this age; it all started when she went to daycare. And now her eye too. 😭