What is the ruling on the prayer of someone who feels a discharge that nullifies ablution during university hours and cannot verify it due to the difficulty of using university restrooms and the cold water? Must she endure hardship to ascertain her purity for each prayer, and what should she do if she is a woman with irregular menses (mustahadah)?

Vaginal discharge from a woman invalidates ablution (wudu') but is pure (tahir) and, according to the soundest opinion, does not necessitate istinja' (washing the private parts) nor purifying clothes. If you are certain or strongly assume that discharge has exited, then perform wudu' and pray. Do not delay the prayer beyond its prescribed time, and you are not required to perform istinja' or purify your clothes. As for mere doubt, do not pay attention to it, based on the hadith of 'Abbad ibn Tamim. If the discharge is continuous most of the time, such that you do not find enough time to perform prayer with a sound state of purity, then you must perform wudu' for each prayer after its time has begun. If performing wudu' for each prayer becomes difficult for you, then you may combine two prayers, according to the Hanbalis. The Malikis hold that a person with continuous minor ritual impurity (hadath da'im) is not required to perform wudu' for the time of each prayer; rather, their wudu' suffices as long as they do not incur another impurity. This is also the chosen opinion of Ibn Taymiyyah, and there is no harm in adopting this view when there is hardship.