It is good that you took this first step. As long as you are polite, there is nothing to fear. But I want to give you one bit of advice: As a foreigner living in China, I don't like when strangers approach me simply to ask me to help them with their English. If you want to befriend me, that is okay. But if you are only talking to me to use me to help your English, then that is not okay. So if your only goal is to practice English for free, I advise you to go to an English corner or try another way to find a teacher. But if you truly want to make friends, then talking about food is a good way. As an American, I love Mexican food! But it is really hard to find in China. If you can find any places that serve Mexican food, (or even sell Mexican food in supermarkets,) then that would be a great way to get to know your new friend. If she is in China for a short visit only, then maybe she won't care. But if she is here for a longer time, then she will appreciate finding some Mexican food. And it will be a good way for you to learn more about her culture too! And if she is more interested in Chinese food, then you can invite her to a traditional restaurant and share your culture with her!

你很客气。

The most inporttant thing is open your mouth. Most of people is gating on this step.

Correct the entry? I would rather enjoy this moment of sharing the experience. It's great! It's wonderful! It's why we struggle to acquire language; it's a thing of beauty and a joy forever yours, who really cares about grammar mistakes because the word "grammar" means agreement and yours was the best agreeing I've read about in quite a while. Don't worry about being judged unless you worry to judge others yourself; very few people are bad or judgemental. Your lesson is an inspiration and for correction I'm sure others will be along soon.