I have to agree with some others, this isn't new...it's all too common, unfortunately.
Why would you not try sex therapy if she's suggested it and is willing? What could it hurt?
It sounds to me that she is falling into a common trap, of not putting your R as a priority in her life...she's letting a list of other things including your kids (who are pretty much grown now) take priority over you.
Now I'm not saying the kids shouldn't be a priority for her...they should. But she has to learn to make your M and your SR a priority too. She's willing to go along with a schedule, that's great...that's much more than many here have...she needs to learn to concentrate on you though at that time and not be ticking off other things in her head that need to be taken care of.
Has she ever tried a C who concentrates on Bio-Feedback? My H initially went to a C, who I'm now learning actually did help him learn to think differently. I used to think he had wasted his time, until our C explained something to me yesterday...something I was misinterpereting.
If I were in your situation though, and my H told me he thought perhaps he needed sex therapy....I'd jump on it!!!