Should the discharge that appears after a word of admiration or a glance from a stranger be considered a pathological condition that does not necessitate ghusl, or does this doubt about the emission of semen require ghusl after each incident?

If the discharge exits when desire is aroused, as described, it may be madhiy (pre-seminal fluid). It is necessary to purify the body and clothes from it and to perform wudu for prayer. Ghusl (ritual bath) is not obligatory unless you are certain that it is maniy (seminal fluid). If you are unsure about the discharge, you may choose its ruling. If the discharge exits during prayer, you must leave the prayer, purify yourself, and repeat wudu. As for normal discharges (rutubat al-farj - vaginal moisture), they are pure but invalidate wudu. One must be careful to avoid mixing with men, speaking to them, and anything that arouses desire.