I have bloody sneezes all the time. My mucous membranes that line the inside of my nose get dried out, and when they do, they bleed. The radiation just turned them into tissue paper. You can also develop a benign polyp in your nose that will bleed when traumatized. Having said all that, given that we have all seen that can go wrong when we ignore things, I would want a ENT to scope me and have a look. Better safe than sorry.