I got Lyme a couple of years back. Possibly from poor removal where the tick regurgitated, or from one I didn't notice. There was no rash that I perceived. Sometimes Lyme can be dormant for many years, before becoming activated by trauma or a supressed immune system. Mine manifested itself several years after the bite.
Trust me when I say that Lyme is very, very nasty and is not necessarily curable. I have been lucky to keep my job, but I certainly wasn't able to get much riding in for a couple of years as the Lyme arthritis saw to that.
The easiest cure is by prevention. Remove the tick quickly and correctly. Avoid hanging around in long grass or cover up. Check yourself for ticks after every ride.
If you develop ME type symptoms, even years after being bitten, there is a distinct possibility that it could be Lyme.
Additionally, the NHS is a dinosaur in terms of knowledge of Lyme, so do not expect them to offer you appropriate treatment.