No, do not date. Find a therapist to help you overcome your anxiety and depression. If you have these "issues" and expect your date to solve them, they're either going to blatantly refuse (because they're not qualified or willing to understand) or expect something from you in return.

Even if you have left your problems behind you, let me just say this, online is not the only place to find dates. If you have a job, your own colleagues would be a good place to start. If not, join a club of any sort and be friends with people there.