What MaximumKalista said. While R (Shadow Dance) won't proc your Q, if you don't input any other commands Akali should attempt to aa the target:
Patch 1.2.1
If Akali uses Shadow Dance on a champion, she will attempt to attack the target upon successfully arriving
Also RIP synergy:
Patch 5.2
E - Crescent Slash
"REMOVED" SORRY AKALI: Crescent Slash no longer detonates Mark of the Assassin
Akali atm is at her weakest in the LOL balance scheme. Her aa animation is slow and clunky, they destroyed her W with the remake (only good thing is no more pink wards), and her E is a HUGE energy dump with no way to get energy back except waiting an extremely long time. Her passive's rework is sub-par and hard to use because of her slow aa animation. I remember when she was a monster before patch 5.2, good times :)