Cuts and things near the eye need to be looked at more carefully than the same cut somewhere else. Clean it out really good, treat it with antibiotic topical so it doesn't get infected, and take the judgment of the stable owner... she's seen more injuries than you have, and probably has a good feel for which ones need to be vetted. If it's debatable either way, you may want to err on have it vetted just so there is no infection, and it gets sutured if necessary, because no one likes for there to be ugly scars on a horse's face.
Take pictures.
Yeah. My first thought was call the vet because she hasn't called me about cuts before. Then I'm thinking she's been doing this awhile. We are just going to pay another months strorage and blow this trip off til next week. Truck breaking down, I can't find the trailer tags, new cat and now this....I'll talk to yall later.