Don’t worry, it’s only a metaphorical nosebleed . . . which, in Japanese slapstick, happens when a person (in this case Jess the Integra fangirl; the other one is Jenn) is turned on.
Alucard: Well, there’s one fangirl who–
Integra: I think this one’s a fanboy.
Alucard: How can you tell?
Integra: Based on the content of his rant–
Fan 1: Integra kicks ***! She has the neatest evil glare and can freeze baddies in their tracks and can be
Fan 2: Integra is MINE! And oh so much better than anyone else! She breaks the unspoken boundaries of anime females
Fan 1: cool and calm when pinned to the floor and… Aahh, nosebleed!
Integra: Oh, no.
Fan 2: and could kill you with her little finger!
Fan 3: Tissue?