Is a make-up fast obligatory for one who vomited unintentionally, while doubting having swallowed something from it? And is it obligatory to wipe off saliva remaining on the lips after spitting for a fasting or Wudu-performing woman, or is it excused?

If a fasting person is overcome by vomiting unintentionally, their fast is valid, and no compensatory fast (qada') is required of them.

What remains on the lips after spitting does not need to be wiped off, and after rinsing the mouth, the presence of some wetness or moisture does not cause harm. There is no objection to swallowing saliva.

One must be cautious of obsessive thoughts (waswas) and not pay attention to them.