Just keep an eye on the location of the ‘bite’. If there’s a load of inflammation, particularly extending in a circular pattern with the bite at the centre over the next few days, you might want to wave it at a GP.
Google ‘tick bullseye rash’ for images, although they don’t always look like that.
Chances are you’ll be fine though, the majority of tick bites are unproblematic.
I rode through a deer fenced area at Grizedale last weekend (wished I hadn’t, was boggy as hell) and one jumped on me from my bike as I cleaned up my drivetrain the next day. Tenacious little buggers.