Being familiar with GURPS, this should be more straightforward than the others. I figure to start with cinematic levels – 300 points should do.
Given her predilection for Ego Hunting, I want her Perception to be high, and her Dexterity. IQ will come next, with HT and ST a bit above average.
ST 11 (10) HP 11 (00) Speed 6.25 DX 14 (40) Per 15 (15) Move 6 IQ 12 (20) Will 12 (00) BL 24 HT 11 (10) FP 11 (00) DMG 1d-1/1d+1
Total Attributes: 95
Combat Reflexes (15) is always nice, and going along with the idea to make this a bit closer to the idea of Stacks and Shells, give her a Bioshell (41) and Ghost Mind Emulation (17)
Total Advantages: 73
Her secret might mean death and might not- but the extra points could be made up with reputation if she wasn't put to death. (-30). At heart, she still carries herself as if she was on the force (-15), and she's obsessed with proving her innocence (-10)
Total Disadvantages: -55
She values her word, so is sensitive about being called a liar. She's always inclined to help those in need, and she stays away from drugs and drink, as she finds that they fog up her capabilities.
Total Quirks: -3
Picking skills, I keep in mind that she can handle herself on the frontier, and is skilled at picking up on minute body language and detecting lies.