Modern Day Immaculate Conception (NSFW)?

Let’s say that a particular male masturbates in the shower and ejaculates onto the shower floor. Let’s then say that a fertile woman who is not on hormone therapy takes a bath there.

Theoretically, the semen that may be stuck to the floor of the bath tub could impregnate her.

Do you think this is possible?

Assume that the bath is immediately after the shower, that a detectable quantity of semen is in fact stuck to the shower floor, and that the water used in the bath is body temperature.