Tick bite sequel.....sequel(2)

No doxy used.....betamethasone 0.05% bid...red gone, no itch,  no adenopathy....still perplexed as to what happened.

Tick bite sequel

Previous tick bite (small tick) left upper thigh, removed tick and in1-2 days had a single 1 cm x 1/4 cm ....itching mild no real pain used topical steroid....slowly improved, now almost gone.
1-2 wks later large tick in left axilla first similar red, mild itch, no real pain, about the same size as the first,  about 3-4 days later the picture shows.   Still no pain, no adenopathy, mild itch....trying steroid cream....Consult 3 physicians....2 "topical antibiotic",   1" if not better tomorrow start doxycycline "....I google searched "tick bite and skin lesions" got only Lyme disease pics.   So now any ideas suggestions let me know.