Two things I want to point out:
-Women can -manage- with a lower pitch. It does not necessarily mean a lower pitch is a good thing. They can pull it off and still sound completely female, but it doesn't mean it's part of sounding female. A parallel I could do would be short hair, or tight small braids on the whole head. Some women pull it off just fine, and can look even cute with it. But those are still not regarded as female traits. I'm not saying pitch is the number one component of a good voice. But it's not unimportant either. It helps, certainly. Now there's falsetto and princess-high voices to be wary of, but that's another issue.
-In general, it's older women who sound lower. In average, that is. That, and smokers. People don't generally want to aim for that. People usually like to sound their age or younger.
So on one hand, it's not good to force yourself higher so much as to make it difficult to sound natural, but on the other hand, staying low just because "some other women are that low" is forfeiting some voice feminity bonus points. You might not need them, but they sure can't hurt.
Edit~ Hadn't seen Apple Seed's message.
Heh, I've been prescribed that same Nasonex without results. I don't want to discourage you, but...
The one thing I find that helps immensely (for a day or two) with that issue is to choke with water in the shower. Hard to do consciously, but the water to rinse the vocal cords and the coughing allowed me to clear my throat wonderfully and have a perfect (well, not perfect, but not diminished, let's say) voice for a while twice. Once by accident, and once willingly because I'd been annoyed by it for too long.
But really, I wish I had a permanent solution. To keep an okay voice, the only method I know (recently discovered) is to cough even when I don't feel the need to, once in a while, before too much builds up. But seriously, that's unhealthy. It's bad to cough. I'll end up actually damaging my voice with that.
If you learn anything, let me know. My doctor just isn't taking this seriously.