I cannot find this short story about a lizard race who wants to help humans with advanced tech and evolved ideas.
The main thread of the story is to send a girl (and many other people) to another part of the galaxy. In that remote place, they will be trained and learn for years, before to be transmitted back to Earth. They put the girl on a machine, her body and brains are scanned and transmitted far away. When it is done, the "original" girl can be safely discarded.
But something went bad and for some fail, the girl was transmitted, but the original copy also stayed... terrified. For the reptiles this is just a bug on the system that can happen from time to time. The easy fix is to kill the original girl and discard the remains. For the girl... It is her life and she wants to desperately survive...
I think the tittle was something similar to "Think like a reptile", but cannot find it by googling.
Help appreciated to identify the book and author