Is the viscous, yellow, odorless fluid that is discharged after sexual arousal, but without ejaculation, considered madhiy (pre-ejaculate) or maniy (semen)? And is ghusl (ritual bathing) obligatory if it is discharged after defecating?

A woman's manī (seminal fluid) is recognized by the subsiding of her desire after its emission, its smell is like that of a man's manī, and its color is a thin yellow. However, the yellowish color alone is not sufficient to distinguish it. Scholars have mentioned that it has two characteristics by which it is known: pleasure and the subsequent subsiding of desire, and its smell is like that of a man's manī. As for what is emitted upon seeing something desirable, it is usually madhī (pre-seminal fluid), which is a thin, white fluid that is discharged due to pleasure or contemplation, and it does not necessitate ghusl (ritual bath). What is discharged after defecation is often wadī (post-urination fluid), which is a thick, yellow fluid that comes out after urination; it is impure but does not necessitate ghusl. Thus, the description mentioned in the question does not match the characteristics of manī and does not necessitate ghusl.