I have anxiety dry heaving

For all my emetephobes out there, I am 15 years old and I struggle with the fear of going out to public places and thinking “what if I throw up in front of everyone, that’s so embarrassing” and I always look for the nearest trash can or just somewhere I can run to when I feel like that. I wake up gagging in the mornings and it doesn’t go away. I am a dancer and I have to go to morning practice and we do workouts like endurance, jump power, stability. and doing those exercises while I feel nauseous feels like I’m fighting demons. I’ve gagged in the middle of practice before and had to run to the trash can but nothing ever comes out. And nothing has came out it’s all in my head and I don’t know what to do to help this. Someone please give me tips and recommendations. I have gone to the doctors for this and have been told to go to therapy but my parents think it cost too much money but they don’t understand. I need help.