I am not aware of career counselling services specifically for people with depression. Having said that I believe all counselling services must have some knowledge of depression in order to help others by pointing them in the right direction.
Most, if not all, unis have counselling services so I suggest you go and see someone there. They can combine therapy with career suggestions. I see your point about remembering how much you have struggled and how this has hampered you.
Do you have any ideas about what you would like to achieve both in a career and in study if you continue with this. Some years ago I returned to uni part time to study a Master's degree even though I was struggling with a huge depression. I found it helped because it gave me a sense of purpose, the feeling that I could achieve this. It was also, in some ways, diversional therapy for me as it kept my least helpful thoughts quiet.
It can be difficult to make decisions when we are depressed. That wretched black dog tries to keep us going round in circles with our thoughts and not making a decision. Very frustrating.
Why not give these career counselling organisations you have discovered on line a try. The most that can happen is they say no.
There are mental health providers who are more in tune with their patients than others. You may care to try another professional, someone you feel comfortable with.
Check out your uni resources and see what they can offer. Investigate the online resources in the same way. Have a chat to your GP about a mental health plan with therapy from a psychologist. Look at other uni courses to see if there is something different you want to do.