Hey there OldSalt, I see two things worth mentioning here.
1) Never too late to try. Each minute you spend asking if it is too late, is a minute later it is. Just apply and hope for the best. If the ten minutes of ones life isn't worth it if in vein, then it's not worth it anyways and then why even waste the time asking?
2) If it's for your wife, she should be the one asking. If she dosn't have the energy to even ask the question herself, she's already lost.
Do your best to "motivate" her, but some people are "late" applying for things because they don't have the ability not to be(for whatever reason).
If she dosn't want to do it, but dosn't want to admit not wanting to do it, oh well I guess.