An assembly for penetrating the uterus of an animal during a non-surgical procedure comprising a probe having an elongated body with a longitudinal axis and a probing member extending at least laterally outwardly at the forward end of the probe body, a channel extending between an inlet opening at a distance from the probing member and an outlet opening near the probing member, wherein the channel comprises at least one bend or curve, such that the axis of the channel near the outlet opening encloses an angle different from 180° with the longitudinal axis of the probe body, the probe being adapted to be inserted, forward end first, inside the cervix of the animal, and manipulatable to gently maneuver the probing member in a forward direction through the cervix to a position in which the probing member and the outlet opening are within or adjacent the body of the uterus.