Some (not all) OBs and CNMs know a lot about UTIs. and would have enough sense to get a workup done if you had > 3 UTIs in 6 months. They would then refer you (possibly) to a urogynecologist, who knows a lot about UTIs in WOMEN, as opposed to a general urologist, who may treated primarily men.
Going to a urologist first before a workup has been done + a trial of post-sex antibiotics, or possibly a once a day antibiotics for a month, seems a bit hasty. Recurrent UTIs often have something to do with an anatomical issue that allows urine to pool. One cause of this may be pelvic organ prolapse, or low estrogen levels in older women, so a good gyn exam and then treatment of the underlying cause is warranted first.