That's the whole point . you shouldn't be crossing the line while she's your teacher.

The fact that she would do it and allow it , means her professional license is on the line.

Spend time with her after she's no longer your teacher.

So when you introduce her two people you know, you can say she's my neighbor or your friend, instead of she's my teacher, and she's in control of my grades, so I have to be nice to her or else she might fail me