Responses
To me it just feels like she's really stretching the limits of her ability, hence the nosebleed, OR the lightning bolts and zaps could be visualizing that she unlocked a new development in her ability (like a level up), OR your theory might be right and she's having her telepath battle with Desmond.
Either way, it's thrilling.

Last panel, is Anya getting a nosebleed after trying to read Desmond mind's or am I just paranoid?