My cat caught a mouse...Now what?

So my just about 3 month old cat found and killed a small mice today. After getting over the shock of having to clean his “present” up, I started to worry if it would cause any harm to my cat. He was just at the vet last Thursday for his rabies and booster shot, but should I still worry about him catching anything bad from the mouse? Let me just say I really hope he doesn’t find another one.