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A wild guess: Cryostasis?
No, it's in third person prospective :)
Hints
1) adventure game
2) third person prospective
3) female protagonist
Just guessing from the top of my head... tomb raider?
No :(
Druuna.
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Gonchi: Druuna.
Yup, pretty sure that's the right answer: http://www.mobygames.com/game/windows/druuna-morbus-gravis/screenshots/gameShotId,533882/

Go ahead and post your own :)
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Gonchi: Druuna.
Right ;)
Go on!
Ok, here we go.
Attachments:
random.png (167 Kb)
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Gonchi: Ok, here we go.
One of the Runaway games?
I'll go with Twist of Fate
No, sorry, not Twist of Fate.
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Gonchi: No, sorry, not Twist of Fate.
The first one? A Road Adventure?
No, it's not one of the Runaway games.
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Gonchi: No, it's not one of the Runaway games.
Could it be the intro to Nox where the main character gets sucked into the TV or whatever it is?
Sorry, no.

Here's a second screenshots.
Attachments:
random2.png (397 Kb)