Are there any secretions that come out of a woman's vagina that resemble the madhy and wady (pre-seminal and post-urination discharges) in men?

A woman's discharge is divided into manī (spermatic fluid), madhī (pre-ejaculatory fluid), and wady (a thick, white discharge that typically follows urination). Madhī is impure (najis) and necessitates washing the private parts. Wady takes the ruling of urine and requires washing. Discharges that exit a woman's front passage are impure (najis), invalidate ablution (wudu), and defile anything they touch on the body or clothes. It is obligatory to perform istinjā' (washing the private parts) from them and to perform ablution for prayer, and to wash whatever they have touched on the garment or body.

The emission of discharges from a woman as a result of kissing or foreplay does not necessitate ghusl (ritual bath) unless it is manī that gushes out with pleasure. Madhī, wady, and urine are impure and it is not permissible to swallow them. As for manī, it is pure, but swallowing it is considered repulsive and is not permissible.