Evelyn Parker cannot be saved in Cyberpunk 2077, although you will be able to rescue her from her captive state before that. We will discuss the context further in the guide below, but beware, there will be plenty of spoilers.
Evelyn Parker is the one who got in touch with the fixer Dexter DeShawn for the Relic heist in Konpeki Plaza. This puts her in contact with V. She takes them to Judy Alvarez to survey a braindance (BD) of Evelyn in Yorinobu's suite.
After what happened at the heist, Parker initially chose to stay in Lizzie's Bar for a while before returning to the Clouds to continue her work. And that's where it went wrong.
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Evelyn Parker and V meet early on in Cyberpunk 2077

Once V has come to their senses and is trying to make sense of what to do with the Relic situation, they start searching for Evelyn Parker. V soon enlists the help of Judy Parker, who directs them towards the Clouds. You learn that Evelyn was attacked by a virus during a session with a client.
Clouds' caretaker Woodman took advantage of the situation as Parker was comatose from the attack. He then gave her to Fingers, a ripperdoc, who then sold her to the Scavengers through Wakako Okada. The Scavengers used to produce black market snuff BDs.
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Judy and V rescue Evelyn Parker from this place, still in a comatose state. She is taken to Judy's Apartment, where they hope that she will recuperate under Judy's care. After a while, Judy will contact V, asking them to come to her house. Once there, you will find Evelyn Parker dead in the bathtub with Judy sitting beside her.
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Unable to cope with what she underwent, Parker chose to end her life. V then carries her to the bed as Judy calls the police to report the incident.
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