It will not prove why she had to delay his booking which is the main bone of contention here.
No, but the context in which that conversation happened will go a long way towards providing insight on whether the OP's reaction and accusation was justified or not. Which if we were to believe that it isn't, after seeing evidence which seems to point that she wasn't booking back to back, then technically that invalidates a part of the OP's original review which speculated she was.
See what I mean? The devil is
always in the details.
All coms were spot on until I got on the train.
He decided to ask for 4pm AFTER I asked if it was ok to move it to 5pm
Show us a screenshot of the text where you asked if you could postpone the booking to 5pm instead. At what time did you send that text?
I didn't give you permission to post screenshots from our private AW emails 
And why would she need your "permission" to post screenshots of your AW correspondence, if none of your personal details are revealed and your anonymity is still being retained?

You should be thanking her for that actually as it's among the few rare pieces of evidence which is showing you in good light before you decided to lose it, start throwing accusations around, and subsequently brought your credibility into total disrepute.
