All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.
We have already clarified in Fataawa 91095 and 82539 the ruling of whether or not these discharges invalidate ablution, so please refer to them.
A woman is not obliged to put her hands between her labia in order to cleanse. The scholars stated that a woman should wash the outside part of her private parts and the outside part of her labia, and wash what generally appears when she sits to relieve herself but they stated that she is not obliged to enter her hand between her labia.
Moreover, it appears from the statement of the jurists that the discharge which is in the labia does not invalidate ablution as long as it does not completely come out.
They stated that even though the wetness between the labia is in principle impure but it cannot be ruled as impure until it comes out, because what is inside the body cannot be ruled that it is impure unless it comes out of the body. Therefore, this takes the same ruling as the impurities [or excrements] that are inside the body which do not invalidate ablution until they come out.
As regards whether or not it is an obligation to wash the clothes that are touched by the discharge, please refer to the above-referred Fataawa.
Finally, it should be noted that you should beware of the whispers of the devil especially in regard to purifying yourself, as he strives to cause hardship and difficulties for the person and make him lazy in performing the prayer.
For more benefit, please refer to Fatwa 87525.