Ideas to make Diana more Viable
Diana is currently in a bad spot in many ways.
Firstly, here ability to kill people is there, but unlike other assassins she has no survive-ability outside her shield which doesn't provide that much. Also, once she's in she can't get out without flash, which a a problem among assassins solely on Diana.
If we consider her a fighter, which is her primary role apparently, she again has a problem with survive-ability.
To counter-act this you can build tankier, but then you lose the burst damage potential and she becomes useless. If you go the damage route, you can, at best, late-game kill 1 or maybe 2 people if you're lucky before you die.
Secondly, she doesn't have a real identity because of above. She has an ok poke, but others do it better. She has an ok shield for herself, but again, others do it better. Her CC is just weak. Lastly, her ult is a worse Akali ult, even if you hit your q.
Now I like Diana, but these problems keep me from playing her, due to her weak early game, decent mid and weak late.
Here are the Changes I would make:
Moonsilver Blade is fine.
The Crescent Strike is also fine.
Pale Cascade loses some of its base shield, but gains strength after the 3rd orb breaks based on the number of enemy champions within a certain range. (Makes her slightly weaker as a duelist for the exchange of actually surviving more than a second in team fights)
Moonfall the knock up could last longer in exchange for lowering how long the slow lasts. This would synergize better with Diana's passiveas she would be able to get more auto attacks off.
Lunar Rush is the big change. It now becomes a skillshot AoE jump, that deals 75% to surrounding enemies. (Size similar to Aatrox dive with same type of target system). Everything else works the same. This allows Diana to hit Q go in and then ult again and get out.
It sounds OP I know but it's basically a Leblanc Distortions that you have to target out to use and it's only in the right circumstances, not all the time.
I think these changes or something similar could make Diana a viable pick an a lot more fun to play.