If it’s a County Court Judgement (CCJ)
The warrant is returned to the Court and now your creditor has to decide whether or not it is worth carrying on with the action. It’s a costly process. They may decide it is not cost effective. This would be a good time to talk to them, to come to an arrangement, negotiate a reduction in the original debt. Then the CCJ can be marked satisfied. There are people who can help you with this. A good first step would be to speak to the Citizens Advice Bureau.
If it's a Council Tax Debt
The warrant is returned to the Council. They will continue to pursue the debt by either:
To receive the Stop the Bailiff Pack at just £19.50