He's a damaged protector. The last time that happened, after he deflowered Buffy, it was no fun for anyone, believe me. She deserves better. His monastic routine in L.A. is pretty grim. Although clearly aroused by the blood trickling from a rescued damsel's forehead, Angel restrains himself, hissing through his fangs for her to get lost.
Angel is neither quite monster nor quite human.
Cut off from daylight and humanity, he's a lonesome Dark Knight, picking at his emotional scabs down in his Batcave, with a fridge full of pig's blood and maybe a few old issues of Maxim under the sofa. But there's a catch. Now, she's a starving would-be actress. His lack of guile in a town lousy with it is completely endearing. No, I guess you wouldn't.