According to wikipedia, "Loki, in the form of a mare, was impregnated by the stallion Svaðilfari and gave birth to the eight-legged horse Sleipnir", so mare-Loki would also be historically accurate.
Oh yeah, Loki in mythology did WAY weirder shit than Loki of the MCU could dream of. Seducing an alligator version of himself would be like a Tuesday for him.