When you're horny, you're not really going to care what the pussy looks like. LOL. You'll be more worried about how it smells. lolz.
Different women likes it different ways. I've had a few females who tell me that they like it when I stick my tongue in their pussies and others who say they don't like feeling a tongue that low. But basically, she'll grind her pussy against your face in whatever direction she wants your tongue.
If you want to play it safe, use a finger and finger her while licking the clit. Some girls like the clit to be sucked on, others don't.
I've never used teeth.
And when I start, I start slow by kissing the outside of the lips and her inner thighs and slowly move towards her pussy. Basically, just start slow. See what she reacts to better, licking like a cat (up and down) and quick flicks of the tongue. She'll tell you with her movements what she likes more.