She should have allowed you to return for "repeat performance" under the Consumer Rights Act 2015, if the work had any issues. The only time she can refuse this is if it would put her at considerable inconvenience or to repair it would be impossible.
Here is the link : https://www.legislation.gov.uk/ukpga/2015/15/section/55/enacted
Further, if you could not carry out repeat performance within a reasonable period of time or without inconvenience, she is only entitled to a price reduction.
It sounds like she has just refused you the right to return, which is unreasonable and as such you would be within your rights to refuse any refund or further payment to her.
If they insist on suing, they will send a letter before action to you which is required under the pre action protocol to give you the chance to avoid court action. They usually give you 14 days to pay before they will take civil court action.
If they do sue, you will receive court documents (a response pack) which you must complete and return to the court. It is a tick box exercise for the most part and there is a short section to write a defence which is easy enough though please feel free to come back to this site if you need any more help.
You should not ignore the court papers as if you do, the claimant will apply for judgment in default meaning they win and you would not be allowed to defend the claim.
A claim will also take 9-12 months to be decided at court. If you lost then you would get 14 days to pay the judgment before the claimant can enforce the order, and 30 days to pay in full before it is registered with credit agencies. The claimant cannot recover legal costs if they win, in a claim under £10K (a small claim), all they can claim are the court fees and interest.
If the claim has no merit (and based on the facts it would have no merit as she didn't let you back to remedy any issues) then you have an option (after your defence is filed) to apply to strike the claim out. The court will consider an application if the claim has no merit, or is misconceived.
You should first invite the claimant to voluntarily discontinue their claim within 7 days if it gets to this point - tell them if they don't then you will apply to strike out and seek your costs if you are forced to do so. If you have no response or they reply and refuse then you could apply to strike out.
The application costs £255 but this is recoverable if your application succeeds. If you are on a low income, have low savings or in receipt of benefits then you can ask the court to waive the court fee. If you won the application, the claim is struck out.
The hearing (if the case gets that far) is likely to be held remotely, it's you, a district judge (who is a practising solicitor or barrister) and someone from the claimant company. The Judge decides and if you lost, you get 14 days to pay the sum. If paid in full within 30 days then nothing goes on your credit record. But certainly I think you would succeed in a defence, just to be clear.
If you lost and if you were unable to pay the full sum owed at that point you can also ask the court to pay by instalments (a simple form is sent in, form N245, and a fee of £50 unless you qualify for a fee exemption so if you are on a low income, have low savings or in receipt of benefits then you would qualify). If the CCJ was not paid in full though bear in mind the credit record would contain the CCJ details for up to 6 years. After that it comes off the credit registers.
I can assist you going forwards if it gets to the point they issue a claim