Welcome to PC! This is a great place to find support.

Whether it's depression or not, you're struggling, and that is more important than the label. It's a good start finding a counsellor. If you find that you can trust them, they can help you understand what you feel and why, which will also help with the 'clingy' behaviour you're concerned about.

We all react to mental pain in different ways, you feel the way you feel and, like the rest of us do the best you can with what you have.

I really hope you get good benefit from this counsellor, if you don't, keep trying. I have had a disastrous counsellor, but then found a good one.

Best of luck, I hope you find what you need.