Praise be to Allah.
Types of discharge that come from a woman
In the answer to question no. 50404 , there is the ruling on the discharges that come from a woman’s uterus, in which we explained that the discharges that come from a woman’s uterus are tahir (pure), and what comes out from the urethra is najis (impure). In both cases the woman is required to do wudu.
Can you pray if you have white discharge?
Based on this, there is nothing wrong with you praying in this case, and you do not have to change or wash your clothes because this discharge is tahir .
The period during which your wudu remains valid is the time of the prayer for which you did wudu. So you have to do wudu for the prayer after the time for it begins, and your wudu will remain valid even if this discharge comes out, until the time for that prayer ends, then you should do wudu for the next prayer, and so on.
It is not permissible for you to pray two obligatory prayers with one wudu , unless you have joined them for one of the reasons for which prayers may be joined.
And Allah knows best.