I've had cats where that meant rub my belly but Aska is the variety that means "I've got all my point bits available now and would like to use them." :( and she isn't repentant. "If you didn't want to play, why'd you put your hand in the attack zone??" She has me trained. Luckily she isn't comfortable enough with guests to do it to them.
I'm sorry you got hurt. May you heal quickly.