Yes, asked specifically for a PCR test for mycoplasma genitalium. Be sure to be off of antibiotics for 3 weeks, and test your first void urine only. Also, if you have taken ciprofloxacin of levofloxacin, you can still take Moxifloxacin and have a decent shot of curing the infection, if it’s indeed MG.
You likely are ok, but if you’re testing for STD’s be sure to include mycoplasma genitalium
In order to give you accurate info, it would be useful to know the kind of sexual encounter you had with that other female.