@indigostarfire i just gave birth 12 days ago.
first, i want to echo what others have said about therapy. contrary to what some may believe, the non-birthing parent of a newborn baby can also develop postpartum depression and it's super important to monitor for that and address any issues that arise.
next, touching on birth plans. i had a birth plan, like many women. but i know that in medical circumstances, you can never anticipate how it will play out and you need to be flexible. i had been in labor for 25 hours and progressed to 7cm (took 6 hours on Pitocin to get there from 5cm after they broke my water the second time) - i know that's not nearly as long of a timeline as your wife went through - and i was SO adamant going into it that the only thing i wouldn't do was the epidural, but i was crying through every contraction. i was wrong. and that was okay.
after they placed my epidural (max. 30 minutes), it took another hour and a half to progress to 9.5cm. another half hour and we were at 10cm, i pushed for an hour and our little lady was here. if i had not gotten the epidural, i probably would not have gotten to that point in another 12 hours.
i respect your wife very much for her insistence on the epidural issue. when i was making my decision - which i felt VERY guilty for originally - my doctors were sure to explain that it's not about you being strong, it's about bringing your baby home. don't force yourself to suffer for your pride. I'm not sure exactly what your wife's internal reasoning was, but i think she had every opportunity presented to ease her suffering and help labor progress quicker by releasing the tension in her body (much like i did) and chose not to. as someone who was also very opposed to the epidural initially, i don't think that was the right decision on her part, but that's just my opinion. i was in labor for a total of 28 hours (which again, i realize is far less time than your wife, but i think that should emphasize my point even more - that forcing yourself through such intense pain for a reason nobody else understands for SO LONG is incredibly flawed - but again, just my opinion), and i couldn't imagine how it would have gone if i had continued to refuse the epidural. i think your wife was wrong to extend a traumatic event like that for herself AND you for an incomprehensible reason.