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Is the eviction notice a bailiff's appointment or an order to leave?
So sorry to hear about your problem.
A claim form is for a court hearing. This is not an eviction date. No-one is kicking you just yet.
The accelerated procedure is done on paperwork so there is no actual court attendance but you can file a defence as shown on the form. You need to explain to the court your difficult situation and even if an order is made they will grant an extension of time so you will have longer to find somewhere else.
Due to the virus the government has said there will be no evictions until after 11 January 2021.
There is no immediate danger of eviction until you receive a bailiff's appointment which will be a few months from now.
Also you can go to a Citizens Advice Bureau and ask them to check the notice as if there is a deficiency on the Section 21 notice it could be thrown out by the court.
I hope this helps.