Kevin mentioned Raynaud's and Giggy "constriction."
First thing I would dump the gloves unless the temps are in the high forty's and you are very active. Even then I carry, and sometimes use hand warmers. If I wear gloves in warmer temps, they have to be the windstopper variety.
Always bring hand warmers! I have some in all my jacket pockets and I carry them even in the summer when hiking in the Whites. Check your packages before you go out. If they feel firm "crumbly" they are no good. Carry some extras because sometimes they don't work. They are all dated and I have used some that are fine which are way outdated.
Don't let them freeze in your pockets. Keep them warm.
It's all trial and error for what works. There are certain temps when I can wear my Black Diamond Mercury mitts with warmers on standby. Never on bitter cold days.
http://www.backcountry.com/store/BLD0765/c11/s100000008/Black-Diamond-Mercury-Mitt-Womens.html
Nice 40% off sale now. I paid $100+ for mine several years ago.
I am going to check out the OR alti mitts. They look really nice but once again I will not put all my eggs in that basket.
For a while I went off coffee and I must say it made
not one particle of difference with my cold hands. I drink coffee but not to excess.
I have a ski friend who got Raynaud's in her 20's. I didn't get it until my early 40's. My feet thus far seem OK but I do wear -40 boots all winter.
I usually carry gloves to make adjustments, etc but just in the short time that I expose my hands they start to freeze up. It's really best to have some moving room in your mittens and having your digits close to each other helps to keep them warm. If you isolate them in gloves they cool down much faster.
Very often I use only one handwarmer and move it mitten to mitten as needed but not on bitter cold days.
All I can say is that hand warmers are little miracles for anyone with cold hands. I would not be out most of the winter if I did not have my "best friends". I spent lots of money trying to find the perfect system in gloves and mittens but soon realized that without warmers there would all to soon come a time when the big hand freeze would rear it's ugly head.
I have also noticed that I get much colder now than I ever did before so dressing warmly from the get go is critical. You have to keep your core warm or the problem will exacerbate very quickly.
Lots of women have this problem. I came very close to not getting accepted on my Outward Bound course in MN but I convinced them that I new how to handle the problem and I did just that. In fact most of the time I wore the "choppers" that they gave us. I never once had any concern that my hands would freeze even when we were travelling and working in extreme cold temps.
I cannot say enough about hand warmers!