Thanks for posting your query at DoctorSpring.com
I can understand your concern.
This seems to be a fungal infection called tinea. it presents as an annular lesion. the treatment for it would be application of lamisil cream twice a day mmixed with mupirocin cream twice a day for two weeks.
That will help in resolving the infection.
It doesn't seem to be Lyme's disease.
Please let me know if you have any queries.