There´s a smoking hot bunny girl in front of you, perfect female human proportions, with the added benefit of exciting, exotic animal parts. Would you: 1.) tap; 2.) not tap?
And these are soldiers of the military, those aren´t the most refined gentlemen.
Personally, I wouldn´t care one bit about STD in that scenario. Especially when we have both real world-medicine and fantasy-world magic at hand. Would be weird if there wasn´t a way to cure whatever. :P