With the addition of live foods, it wouldn't surprise me if it really were eggs. They get this way from time to time. In most all cases, they just release them on their own, though it doesn't really hurt them to stay fat all the time...some just never seem to release, but they don't suffer from it.
If it is eggs, then her ovipositor should be extended, and, if viewed from behind and underneath, you should almost be able to see up it (think a little black dot in the middle of the white tube). If she's dark-colored, her belly should appear lighter than the rest of her overall coloration. If she's light-colored, her belly should appear DARKER than her original coloration.
But, to cover yourself in case it is constipation, then take a frozen pea and stick it in the microwave with just enough dechlored water to cover it for about 10-15 seconds, then pull it out, let it cool, remove the shell, and feed the innards. To get her to eat it if she doesn't want to, try sticking it on a toothpick and dragging it slowly along the surface to induce her hunting reflex. Most Bettas like peas once you can get them to actually try them.
Dropsy usually has other symptoms, so if she's behaving normally, I really doubt it's dropsy.