Oh, i never actually tried it, but yeah, it does make sense for her to be imune to players altogether, or an enthusiastic nova might tactically dispatch her into an enemy base 
So they do, Aurana prepares to move at like 3:20 on Malwarfare (towards the 2nd terminal, between expansions). Wave 1 spawns at 3:45, generally gets to the base by like 4:15 unless you intercept it. With Speedfreak though and let’s say zerglings, they’ll get there before 4min easily.
I believe from there Aurana starts to move to 2nd terminal at 4:30. So any number of unit-applied-mutators that can affect both wave 1 can have a potential impact on OP’s question. The ones Anc has mentioned including Boombot (1st one at 2:30), Void Rift (1st set of 2 at 2:20), and Propagator (1st one at 3:30) will all have game ending potential. Although, granted that Void Rift has the least game ending impact in terms of its power but combined with the right unit-applied-mutators like transmutation it can get scary quick.
I did that on hard mode with 4 commanders with 4 different games playing a new build to challenge myself. It was for normal mission with no mutations. Try enough it will happen. =D
Can Propagators eat Aurana?
Aren’t objectives immune to Props? (mind you, Mag and Widow Mines have cheesed the temple)