You don't get "bit" by a tick. They latch on and don't let go until they are full of blood. They suck, they don't bite.
They will be huge if they have been sucking for a couple of days. I used to pull them off of the dogs that way. Now the dogs are on a pill that doesn't let them get fleas or ticks. Wonderful stuff, expensive though. ( I wonder often why people can't take a version of the same pill ?)
If you get the tick off of you within 24 hours you will not get Lyme disease.
I carry a tool in my pickup that helps to remove ticks. It is just kinda a bent tweezers that allows you to grab the tick by the head and pull it completely out. You sometimes get a little skin pulled out too but, that is good!
Whatever bit you it was not a tick !!! Spider maybe.
Hope you feel better. Keep us posted. And if you ever find out what got you let us know.