I'm interested in becoming an Officer. I already have a bachelor's degree. Will my age (27) or my husband being an NCO disqualify me?

I wish you success by the way the Navy also has OCS as well. Jusy sayin

In the normal course of things, I cannot forsee any major impediments. It is time for you to run, run, run. Go to a really good gym ... go nuts. Find a trainer who is a veteran preferably from a combat arm like the Infantry. Work, work, and work some more. While women are not yet expected to meet the same PT standard as men, impress everyone and max the male PT test at least for your age group. Irrespective of which functional area you enter, the military is an exceptionally physical endeavor especially if engaged in actual combat operations. As an officer you will be called upon to lead soldiers in extremely dangerous situations. You must be able to always lead from the front and at the very least be better than most of, or all your men and NCOs