Is the circumambulation of Ifadah (Tawaf al-Ifadah) valid despite doubt about nocturnal emission, and what is required of her given that she resides in Jeddah, having entered into ihram from Egypt, and is unable to return there to re-enter ihram?

Purity is a condition for the validity of the tawaf (definition) (circumambulation) according to the majority of scholars. Therefore, whoever performs tawaf while in a state of janabah (definition) (major ritual impurity) or hadath (definition) (minor ritual impurity), their tawaf is invalid, and they remain in their state of ihram (definition) (sacred pilgrim garb). However, if one doubts whether they are in a state of janabah and are not certain, then ghusl (definition) (ritual bath) is not obligatory upon them, because the default state is purity. Thus, their tawaf is valid as long as they are not certain of having a wet dream by seeing semen.