I Found A Tick On My Arm 10 Days Ago.

I found a tick on my arm 10 days ago. I removed it. Went to urgent care the same afternoon. They gave me antibiotics and said the site was clear of any part of the tick. The site never cleared up. Now I have a hard pimple like red dot that itchy. Should I be alarmed. BTW they told me to go to my primary MD in 3 weeks for blood test.