How does a woman distinguish between actual flatulence and gas, and what is the ruling on her prayer and ablution if she doubts whether she is afflicted with سلس الريح (incontinence of wind), or if she is late for prayer and it is outside its prescribed time?

If the emission of wind does not cease, perform ablution for the time of each prayer, as this falls under the ruling of a woman with irregular bleeding (mustahadah), and what is emitted does not harm you. We advise you to persistently supplicate and show humility, and you should consult a trusted psychiatrist, as you have a type of whispering (waswasa).