Is Friday Prayer valid if one feels a slight stickiness in the private parts, with no trace remaining after the prayer, and fears performing the prayer without Wudu?

It is from the mercy of Allah the Almighty that we do not pay attention to doubt until certainty is achieved. In the Two Sahihs, the Prophet, peace and blessings be upon him, said concerning one who imagines that he has passed something during prayer: "He should not leave until he hears a sound or finds a smell." Accordingly, there is nothing upon one who doubts the emission of madhiy, and he should not pay attention to this doubt, but rather attribute it to delusion.