If your employment has just ended, not just for redundancy but for any reason, did you sign a compromise agreement? Perhaps you entered into a COT3 via ACAS to settle the dispute?
If you did there’s a good chance you will have signed up to a clause that says;
“You shall not at any time after the termination of your employment represent yourself as being interested in or employed by or in any way connected with [name of ex-employer]”