Emilia is perceptive enough to notice her gesture is met with tension. Under any other circumstance, she would withdraw. But these are not normal circumstances, and if the tension alone can help tether Wrathion to their reality as opposed to the one this room is doing its very best to conjure...

That there is history between these two is apparent, its own sort of tension that thickens the air. She looks between them both, aware there's a great deal of context she lacks.

She is less certain of whether or not she can actually interact with this mirage, so she goes about testing that. If this goes sideways, she wants to know that she'll be able to do something about it.

"If your offer of friendship is sincere, why not help all the same?"

Why withhold it?