Hey @Rebecca_Fiebrink, regardless of what email client you use, you should still be able to email Asana tasks and forward them, etc. Sorry if you already knew this and you just mean assigning due dates is taking too much of your time.
You could always just add the due date in as the first line when you email tasks? None of it’s ideal, I want this fixed too, but that way whomever gets your task can assign the due date on their own, etc. And when you go through your My Tasks every morning (or whatever), you can arrange your day and add due dates while you do it.