A female muslim could continue to perform Tawaf if it happens that she witnesses regular vaginal discharge which is deemed by some scholars as a regular form of wetness that does not break wudu’.
Sheikh MuhammadNur Abdullah, former president of the ISNA (Islamic Society of North America) and member of the Fiqh Council of North America, states: “Following the opinion held by the late Sheikh Mustafa Az-Zarqa, may Allah bless his soul, I believe that this kind of vaginal discharge is a regular wetness that does not break wudu’, especially that it is uncontrollable and most women get it throughout the day”. Therefore if it happens that you experience this type of discharge, you don’t need to break the Tawaf nor renew your wudu’.