I love doing random battles because it always means a mixture of characters, like here wherein an anime character is taking on a typical western
movie character. Sango is much more agile than Predator, so his blaster pretty much useless since it is slow compared to Sango. I think Sango would notice
the targetting laser being aimed at her and therefore she would evade his blaster attacks. Predator's cloak would still work since Sango
wouldn't have any way to detect him. Sango's bone boomerang is made from the bone of a demon and seems indestructible. Even if Predator could hit it in mid-flight
I doubt the boomerang would be damaged at all. Thus Sango could use it as a shield. Predator is more of a hunter than a fighter so he will
just hide long enough to study Sango. Sango is a demon hunter, but she goes out and drives her prey out. After seeing that his long range
attacks are useless, he would try to sneak up and get close for hand to hand combat. Sango's skills would allow her to detect him coming closer, but she would let him so that she can attack.
Predator has never taken on someone like her before, or at least that all I know until the new movie comes out.
Predator is pretty cool but he isn't fast enough to block Sango's attacks. She would use either her sword or martial arts skills to kill Predator.