Keep in mind the trade mark "bullseye" doesn't always show up.
I know a two people who have gotten Lymes Disease and they went untreated for too long and it let to MANY other problems.
My boss raced mountain bikes and was very active. He got to the point it was very painful for him to walk because joints were such a mess. He dropped 20 lb of muscle or more and well over a yr later he is starting to be able to ride his bike again and move around pain free.
The other guy is friend's brother and he is a mess. Not able to work any more and is on disability for the rest of his life.
Lymes Disease is no joke. Err on side of being paranoid.