It looks like I'm the lone voice of dissent on this one. I say its a no go. Here's why:
1) There is no such thing as no-strings sex, not for a woman. Sorry you didn't get the memo. That BJ is going to get you more drama than a theater major...
2) You obviously were not interested in her before the offer. If you were thinking about pursuing her before then I'd say more power to you, but the fact is that in order to accept you'd have to sacrifice your standards.
You are a man. Never let your hormones, no matter how enraged, compel you to act where you would know better otherwise. You're the better man for it and I personally respect and salute you for holding onto your dignity. As you can see, not too many guys would. You're well on your way to becoming an Alpha-Male if you keep that in mind.
-CyranoDeBergerac