[ Mental Health ] Open Question : Psychiatrist wants to pull me off of anxiety meds?

Ok so i have been on anxiety meds for a little less than two months. I was suicidal. I also have a drinking problem but have cut down significantly since i was prescribed the meds. Also the anxiety med that i am on is NOT addictive. My psychiatrist told me last month that she wanted to begin weaning me off to eventually pull me off completely. I feel like this is simply unfair and irresponsible. I have been feeling better bc of the meds and if she pulls me off i will prob go back to drinking to cop.e How can i best convince her it's best to leave me on........