Their relationship would look similar to Dick and Clark's, but subtly different in interesting ways, and and they could gossip about Bruce and Donna and be really, really, really ridiculously pretty and kinetic as they run around doing heroic things, and Dick is probably the guy in the whole of the DCU least likely to be played up in weird and unsuitable ways at Diana's expense. Gail?
You forgot to add that they're the two DC characters most associated with bondage.
Come on. We all know it's true.
To the rest of them, she's a follower, and there's a certain degree of "bah, mortals, what do they know" (even with Athena - perhaps especially with Athena). To Ares, she's a victorious opponent who knew better than him and proved it in the most dramatic and memorable way possible.
That's something that I never thought of before: of all the gods, it's Ares that respects her the most.
(Well, maybe Hermes respects her as much as Ares. His head was deflated right quick once he actually started hanging around)
Whereas Athena... I'm flashing back to the confrontation between Diana and Athena over Diana's surrendering herself to the world court over the execution of Max. Athena, who is the god most like Diana and who granted Diana her wisdom, completely failed to understand Diana's reasons for surrendering. There were any number of things that Athena could have said that might have convinced Diana ("Your sisters are in grave danger because of what you have just done" leaps to mind) but she defaulted to commanding Diana to back down. She of all people should know that you can't order Diana of Themyscira to do something she thinks is wrong or to withhold from doing something she thinks is right. Diana can be reasoned with; Athena's refusal to allow Diana to retrieve Lyta was delivered through reason (Lyta was never meant to be an Amazon, and fighting Ares on his own turf would be suicide) and with the promise that Ares' actions would be answered, and ended with a plea to trust her. That is how you get Diana to back down. Ordering doesn't work.