Back to swimming, old problem with nose

After a couple of years away from the pool, I have just started again, and so has an old problem. The skin on the tip of my nose is inflamed, just a patch really. This isn't a runny nose, or sinusitis, just the skin. But it's sore enough to be a bit worrisome. I'm making a dermatologist appointment today but anticipate that I won't get in for a few weeks. In the meantime an internet search has turned nothing up. Anyone else have this problem? Solutions? The pool that I've been swimming in uses bromine -- could that be the culprit? I know I have had this with chlorinated pools before... Thanks for any advice.