Hi,
How are you? It is good that your cat has updated rabies shots. Small rodents such as rats and mice, have not been known to cause rabies among humans. The bites are usually not considered a risk of rabies unless the animal was sick or behaving in any unusual manner and rabies is widespread in the locality. Check with your doctor for proper evaluation and to ease any anxiety. Direct clinical examination is important. Take care and regards.
I wouldn't worry about it if the cat has had her shots. She was only acting that way because you interrupted her hunt. I wouldn't worry too much about the mouse blood, unless you're sure the mouse was sick. It doesn't sound like the mouse was sick. We lived where the cats caught field mice and shrews all the time and none of the cats ever got sick. We just accepted that the cats caught mice and shrews as a fact of life, since that's simply what both domestic and feral cats do. And, the cats could've gotten rabies since none of the cats had their rabies shots and they were exposed to feral cats as well as field mice and shrews. I was only a kid at the time, so I had no control over the decisions my parents made about whether the cats were vaccinated or not.
The only thing I would be concerned about is the puncture wound. You should have that looked at and have it thoroughly flushed to be sure it is thoroughly cleaned out, especially since you didn't bleed. Believe it or not, bleeding would've been helpful to wash such a wound out. The cat's canines (fangs) are capable of giving you a nasty puncture wound. There is more to be concerned with the puncture wound than anything else. As a precaution, if there is any sign of infection in the wound, they might tell you to take a course of antibiotics. They might not suggest antibiotics, too. But, you should still have the puncture wound checked out.
I just wanted to add one more question into this subject, but are there any other diseases that I would possible contract in the situation I mentioned above? Sorry about my sloppiness, I'm a new member to this site, so it's a little different for me, hehe. Thank you again, I really do appreciate the help and answers! :]