Could you die if you ingested Tea Tree Oil?

I apply Tea Tree oil to my face, every night before I go to bed, and I put some right above my lip on a zit, because I have acne and Tea Tree Oil is supposed to help.. I'm afraid I'll lick my face while I'm sleeping and eat tea tree oil, or forget it's there. Could it kill me? I sleep on my side because I can NOT stand sleeping on my back so I'm pretty sure I get tea tree oil all over my bed cause i smelled it.. and i used a straw to drink from a cup.. Help!?