As a UK citizen, with the right to abode, you can return to the UK at any time to take up residence.
Important is to insure that your danish residence status is not lost due to an extensive absence (often greater than 6 months) from the country.
This is something which you should ask about beforehand (at the immigration office where your residence permit ...
This cases are always quite complicated and you better discuss it with a lawyer before making the decision.
Looking at this document from OECD it one may think that it would be without tax consequences up to 30 days:
There may be other ...
This was asked pre-Brexit, and the answer was indeed that as a UK resident I would get the right to use the NHS just as any other UK resident, and also that I got an EHIC card issued by the NHS.
For the people reading this now (post-Brexit):
UK citizens still have a right to healthcare in the EU, using a GHIC
(Global Health Insurance Card) that they can ...