It's good that you killed your anxiety, you probably are further than me then.
Still I think it would be better if you'd apporeach differently.
What do you do when you're with good friends? Do you have fun? Are you sometimes crazy?
What if you're drunk? Are you crazy and fun then?
Now let's imagine you'd be the funny guy, start with something funny and you created a funny frame which would make the rest of the conversation a lot easier. And if she's a girl who doesn't like fun, I think you'd be better without anyway.
For example: if she's using her smartphone, say like: "Woow, I really love your smartphone, can I have it? ", if she acts surprised you can say: "now now, I am sure I wouldn't be the first one to ask you that question! Am I?"
Or you could say: "It looks like you don't give your smartphone enough love. He isn't shining enough... Look this how you have to do it" you take the smartphone and you start cuddling it. "That is giving love, now you do the same, go ahead !" If she does it, you can say: "I knew you could do it, awesome! You'll get him much healtier now! High five!" Say everything with a smile of course and have some fun and if you're having fun, it doesn't even matter she thinks your weird, in fact you've nothing too lose, cuz you will have fun. (But I think she'd like it)
These are examples I just came upon, I didn't test any of these yet, but I think I will one day

Try not to scare her off either, make sure she knows you're joking around, and after a few minutes you can go more serious (so she doesn't entirely think you're a clown)