...I think "war between worlds" is kinda pushing it, but yeah, her talking about "BUT I'M FROM A WORLD WHERE MEN EXIST" is a problem for the governments of that world. They have the technology to have male babies. Yet they choose not to do so. So suddenly talking about males being alive and well would disrupt the status quo and the social order (and you better believe it that some of the less "lesbian inclined" females would be "interested" in the male specimen, and maybe even having male babies being made again). And her history book would be, of no doubt, of interest to world governments.
But "war between worlds" can only happen if there is an effective and efficient means to cross worlds and the borders between them are being violated or threatened. Otherwise, it wouldn't be worth war even if it was just from a feminist "kill the men!" mentality from a government in the other world. If you can't get to your enemies, you can't very well kill them.