I think you will be fine. Well maybe, all fish are different after all. I have two male blue throat triggers in my 90 gallon tank for about two years now. They get along great and don't harm their tank mates. I have seen them squabble with eachother when I do a water change (when they try to dart in the same crevice or hole in the rock) but it is just a bit of a chase around then they are fine.
From experience, to best keep these triggers you will need lots of hiding spaces, an open swimming area, lots of feeding (they eat tons) to keep them happy and to reduce any chances of aggression. This means your filtration must be top notch especially in a reef tank. Since you are getting a female I think you should be fine. Keeping two blue-throats is great cause the male's colour brightens up substantially. I've noticed this when I added the second male, both of them brightened up. A female may make his colours stand out even more.
I would stay away from the niger or the crosshatch. Nigers can be vary aggressive and can cause havoc in a reef tank. Just search it up and you will see. Also Crosshatch Triggers get much more larger than the Bluethroat so at least a 6 foot tank would be needed. I have never kept these triggers personally so I'm going with what I have read online so take that as you will.
Is your tank a 4 footer or 6 footer?