A good job you got it checked again, and I hope these drops do the job quickly. It always horrifies me how many people try to treat eyes without getting a vet, they can go catastrophically wrong so quickly yet far to often the reaction seems to be wash it with a tea bag & it'll be fine.
I'm a tea bag user if the situation is appropriate, I don't see a problem with first aid, if it doesn't work I'd always investigate further with a vet a simple watery eye on a windy day, when flies are bad or if there's been a dust storm doesn't warrant an emergency vet call IMO if there are no other symptoms.This is exactly advice that I have been given in the past. Like a tea bag will solve everything!