Is canine progesterone a medical device

No.

Medical devices are instruments, equipment, apparatus, in vitro diagnostic reagents and calibrators, materials, and other similar or related items used directly or indirectly in the human body, including required computer software.

Utility is obtained primarily by physical and other means, not by pharmacological, immunological or metabolic means, or is involved but only in an ancillary manner.

Canine progesterone is primarily a statistic to be known before a dog is bred, so that a judgment can be made to determine when a large number of eggs have been discharged and matured in a female dog, and to increase the rate of conception. Acting on animals, not the human body, so it is not a medical device.