It is really frustrating that when we need the support the most, people actively withdraw it because they think they'll hurt us more - when pulling back is the most hurtful thing they could do.

I'd honestly go back to your school councellor and remind him/her that it's their JOB to listen to you and to try to help you. And then maybe point out to them that they can help you with the smaller challenges that get in the way of your life everyday - because those make life miserable in the long run. You and the councellor don't need to work on the HUGE issues right away. Although it's rather a shame that you would have to re-explain their own job to them.