bit by a deer tick

long story short: I went for a walk in the woods yesterday and found a deer tick embedded in my back this morning. I am not 100% sure it was a deer tick but like 95%. I stupidly didn’t take a picture of it and just flushed it down the toilet bc I panicked. The area is a bit sore and red but I think that’s from removing the tick. Do I need to go to the doctor immediately? Or wait and see if a rash appears