Hello and thanks for using Just Answer.
My name is ***** ***** am happy to assist you with your enquiry.
Please don't worry too much- there won't be any tax for you to pay.
As regards ***** ***** husband's name, this is a very straight forward process, in that all what needs to be done is to send a copy of his death certificate to the Land Registry. Indeed, the Solicitor who acts for you in the re-mortgage can do this for you.
There is no legal need for you to remove his name before you apply to re-mortgage.
However, if you feel you can do it yourself, all you need to do is to submit the death certificate with Form DJP.
Here is the Land Registry link-
I hope this assists but please let me know if you require any clarification.