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Dr. Paul Brazzell here.
I would not be too worried.
When the nasal passages are irritated they will sometimes bleed a little.
I think that you can wait till tomorrow and in the interim you can try this.
Put the kitten in bathroom and turn the shower on hot for ten minutes.
Repeat this 2-3 times a day.
You can also buy neo-synephrine and put one drop in alternating nostrils every 12 hours.
Buy some L-lysine from a nutrition store and give 125mg twice daily with food.
If this works then I dont think that you will have to take the kitten in :)