And what rule is that that said you must face in the direction of the kick?
You may have problems turning around and kicking in mid-gallop, though. Morph rugby would probably be more oriented towards running, than kicking, except kicks from a standing start (e.g. penalties).
...a deer kicking forward with those hard hooves.
Or a springbok

Yeah... Percy Montgomery, the springbok Springbok. That oughta be good...
Can you say field goal from anywhere on the pitch?
I'm waiting to grow strong legs and hooves

(quote from the game, BTW)
Imagine boars chasing after a cheeta[h].
I'd rather not imagine a
scrum involving boars and cheetahs, though. The results might be less than pretty:
Ref: "Lock... engage!"
(Medic starts running onto the field)
Boars: "Oomph!"
Cheetahs (simultaneously): "OWWWWW, MY EAR!"
Come to think of it, rugby might be a fun game in their world.
It would be very different, no question... *winces*