Thanks for providing more information.
Sorry for late reply and inconvenience.
Well I understand your discomfort and possible causes of such weird burning sensation in one side of vagina with urge for urination may include Atrophic Vaginitis, Urinary tract infection.
You should take OTC Motrin 200 mg every 6 hourly.
Also hydrate yourself with plenty of fluids.
Try cranberry juice.
Add OTC probiotic such as Rephresh vaginal gel.
And make an appointment with your gynaecologist for a clinical examination and further Urinalysis should be advised.
Low estrogen levels after menopause can cause vaginitis so in such cases, estrogen cream can be advised.
I hope this helps.
If you have any further query then feel free to ask.
Positive feedback and bonus are highly appreciated.