Lol@Jenkins is an idiot. If anything Jenkins shouldn't have discussed his assasination attempt in his office, which may have been bugged -- or at least have a decent escape plan for both him and V in case things went awry. According to YouTuber Madqueen of the Madqueen Show, she did a video where she said that Abernathy has tried to have Jenkins removed from the company before, and that she's worse than him -- and that's why she's in her position and not him. Jenkins knew she was going to try to kill him again because of what he did with the ESA board members. So, he figured it was best to kill her before she got to him. She also mentioned that V was about to be blamed for the Frankfurt situation as well.
Video - go to 5 minute mark for corpo information on the lifepath:
By the way, someone on Reddit posted an interesting theory. They are hinting that Frank Nostra (your old corpo associate who worked for Abernathy) is the one who ratted you out to her, and that's how you were caught at Lizzie's Bar. They say if you watch the three Arasaka bodyguards come in, Frank comes in with them and stands on the main floor; he also leaves when they do, too.