Educate yourself on the reasons for the ewe harvest. Quite simply, sheep in these units have reached and are exceeding the habitat's carrying capacity. The herds reach population levels above the appropriate carrying capacity and become much more succeptible to pathogens (currently present in all of our sheep herds.) Suitable Wyoming sheep habitat is all occupied, whether because of political/social constraints, proximity to domestic sheep, or simply habitat unsuitability, there is not currently any place to relocate excess sheep. We can't just willy-nilly relocate sheep from overpopulated areas into other herd units because they all carry varied strains of pathogens which are foriegn to and can decimate existing, possibly already struggling herds. There is nothing, absolutely nothing, wrong with taking ewes from herd units under these circumstances.
As stated previously, its your tag, do whatever you want with it. I do realize that targetting ewe/lambs, doe/ fawns etc. can be tough on an emotional level. I've assisted with a culling program that did just that, and it wasn't fun, but someone's got to do the hard thing to manage our wildlife. This is what WGFD is doing with these e/l opportunities. If you still can't bring yourself to utilize your limited quota license, consider donating it to a disabled veteran's group such as Hunting with Heros. I know there are folks served by these orgs that would very much appreciate the opportunity.