I'm sorry about the way your psychiatrist is about the issue, do you have a therapist you can talk to? Sometimes therapy, specifically CBT can help with self harm.

One thing that helps keep me from cutting is exercising. Working out gives that "burn" sensation without actually hurting myself, and it's healthy as well. Are there any things you do/hobbies you enjoy that you can use whenever you feel the urge to cut?

Something that was taught to me while in the hospital was using a rubber band and snapping it on your wrist to get a slight sting to help with the urges.

There are a lot of other coping skills and strategies of course for curbing urges, those are just the one's off the top of my mind that have helped me. You just need to find one, or a combination of things that suit you. I hope you can find something that helps you