I'm running into the same problem. I'm brand new to swimming and TI. I was never a great swimmer growing up and swam mostly with my head above water.
When I breathe in, water running off my face goes into my nostrils and to the back of my throat. I'm nearly certain that my nose is completely cleared the water, but I will check next time I'm there.
My question is (assuming that it is water that's running off my face):
Is this just something I'm going to have to learn to deal with? It's a small amount of water, just enough to make me uncomfortable.
Am I doing it wrong?