Does drawing the cyst means putting a needle in and draining it???
If it does, this is against the law! (uk)

The law basically says, that you may treat your animals at home, so long as you are not doing more harm than good. But the only person allowed to doing anything invasive (injections/operations) is a vet or someone that has been instructed to by a vet.
Whilst on the subject, it is also against the law to not take an animal to vet if it it will cause it undue suffering.

I agree with EB, you could not possibly know that it is a cyst. And it could be something else.

If you are not working, there are orgnaisations that can help you with the cost of vet treatment, if you are on some sort of benifit, then try the PDSA or the bluecross. Other organistations that may be able to help is your local cats protection or your local RSPCA.