Question: White discharge from my vagina

I have white discharge from my vagina and white discharge underneath my clitoral hood. And my vagina has a pungent odour. My clitoris feels like it is tingling or throbbing all the time. I started taking metronidazole and a probiotic supplement called enterogermina. After the first dose of both metronidazole and enterogermina I started having urgency to pee. I feel like I have to pee frequently. My urine does not have a strong odour and it is not cloudy and has a normal light straw colour. I was wondering if urgency to urinate may be a symptom of bacterial vaginosis or if it may be a side effect of metronidazole or enterogermina?