Nigers can be weird fish, but, she is still a trig, and I doubt the tang truly bothers her..
when the opportunity lends itself the trig will take it, assert herself, go on the defensive, attack, and you see the shredded fins...
while the niger might be shy when you are present, in your absence, a whole different world probably exists, she is probably more shy around you, than the tang...
nigers are quite often known to be painfully shy, especially when just introduced, around their owners..this shyness tends to decrease over time..
the tang will always keep the trig in check due to her size...
imo/ime, when adding any aggressive fish, especially a trigger, rearranging the aquascaping is paramount to the overall karma of a tank..