hello there.i have gone to through your history,the description of it is bit vague,but i will definitely help you out
most likely you would have been bitten by beetle belonging to a classs called meloidae which is also known as
blister beetle(since you have not described any obvious animals that you noticed) and is fairly common
i would diagnose you to have an infected
abscess at the bite site ,which is basically the body's response to foreign chemical which got into your body through the bite
Since you have squeezed the pus out,the swelling might have subsided,but i warn you to never squeeze such lesions as there is high chances of recurrence and spread and causing an even bigger infection.
i would recommend you to wash it twice or thrice daily with lukewarm water and soap and keep it clean all the time and then apply
mupirocin ointment over the lesion for a week.
Also take antibiotic
ciprofloxacin 500mg twice daily orally for 7 days and a
multivitamin tablet daily for 7 days.
all this will help in healing.
if it recur, or it spreads to other sites,or have a
high fever,do visit a doctor immediately and dont squeeze it on your own
in normal scenario,above regimen will clear you of the same.
Hope i have clarified your doubt.followup if you have doubts.good day