Its not really a shift, new fats go to female areas and if you have a healthy lifestyle including exercise, old fats get burned from male areas.
The weight on the abdomen will not fade alone, but if your T level is low and E high, new fat will not accumulate there. The new fats will accumulate in the gynoid areas, thighs, hips, buttocks, breasts, under the arm. Some have a high metabolism and unless they eat like pigs and don't exercise, a very unhealthy lifestyle, they won't get much fats going anywhere; with such a lifestyle, some fats will wind up on the stomach too (like every else its genetics).
If your exercise even a bit, say walk every day, and are on HRT, the visceral fats (the one behind the muscle, which you cannot pinch, but is the one that most makes your abdomen stick out) will go away very fast since that fat is right next to the liver. When you relax your stomach and see the abdomen from top to bottom stick out like kermit the frog, that's visceral fats (love handle are pinchable fat).
The visceral fats will be first used for energy after stored energy in the muscles. The fat over the muscle, is thougher to get rid of, but exercise will get rid of most of it if you reach your ideal weight. There will be a bit of this pinchable fat left even after all of that, but it should be just enough to cover the muscles so your muscles don't stick out.
The fats in the gynoid areas, when on HRT, is the last to go.
People that do lipo usually don't want to go the extra mile to get rid of the pinchable fat.