What should a woman do if semen continues to exit while she is praying, and is it permissible for her to pray in that state?

If the discharge is not continuous, then it is not considered سلس ( سلس is a constant discharge, which makes one unable to retain ritual purity), and ablution is nullified by its emission, even if it occurs during prayer. In this case, one must perform ablution and repeat the prayer. One is also required to wash whatever it has soiled if it was urine or prostatic fluid (madhiy). A worshipper should not exit their prayer unless they are certain and convinced that something has been discharged, because the original state is the continuation of purity. If semen is discharged after ghusl (ritual bath) without desire, ghusl is not required, but ablution is nullified. If the emission of prostatic fluid (madhiy) is continuous and frequent, it is considered سلس, and one must perform ablution for each prayer when its time enters. If it is not frequent, one should perform ablution after washing the male and female genitals. If one feels a drop of urine exiting after performing ablution, one should distract themselves from it and disregard it, unless one is certain, with a certainty like the sun, that it has occurred. In that case, one must wash what the urine has soiled and repeat ablution.