I feel extremely anxious when I play in front of people

As title says. When I practiced alone, no body out there, just me, I can use my full body and all my energy to play, which feels GOOD. Sometimes I can continuously play one piece again and again for 3, 4 hours without knowing how fast time passed.

BUT, when there are people around me, even if they are not even pay attention to me, they just exist, I just don’t know how to play anymore. Including my teacher. So when I practiced so well during the week, when we met, I can’t show her “myself’s version”, which is sad. 😢

Once I showed a song that I’ve been practicing a lot lately which she doesn’t know, I kinda use my full energy to play since I really love that song, she was very surprised and said she didn’t know I can play that well. I almost forgot she is there, sit next to me. I mean, yeah :/ The reason why I called it a song instead of a piece is that is a modern song, not classical. I am a classical trained piano player when I was 4. But I sometimes listen to modern pianist too, like Yiruma?

I have severe anxiety problem, which might contribute to this one to some extent. Piano is a way to relieve my stress.

What can I do? Or I can just play for myself and let it be?