Is it permissible to disregard the fluids that are discharged (mani or madhy) and suffice with performing ablution (wudu') and prayer for a period of time, with the intention of overcoming obsessive-compulsive disorder related to this matter, and are the discharged fluids considered mani or madhy given the absence of clear symptoms of mani, especially since she is pregnant and fears that this discharge might be related to her pregnancy?

It is recommended to perform ablution (wudu') before sleeping and to recite Surat al-Ikhlas (definition) and the Two Protectorate Surahs (al-Falaq and an-Nas) three times, along with Ayat al-Kursi. One should also disregard obsessive thoughts to prevent their escalation. The discharge mentioned in the question is most likely madhy (pre-seminal fluid), which necessitates ablution and washing the affected area, whether it is discharged during sleep or wakefulness. If the questioner is unsure whether the discharge is madhy or manyy (seminal fluid), they may consider it madhy and perform ablution; this is the view of the Shafi'i school. Madhy is a thin, sticky, white fluid discharged during arousal without ejaculation or subsequent fatigue. Manyy, on the other hand, is thin and yellow (in women), and its discharge is accompanied by pleasure and subsequent sexual fatigue. It has a distinctive odor (like the smell of eggs or clay). If the discharge is manyy, the ruling for sals (incontinence) applies to it.