There are lockers around the room with EMP grenades and ammo/weapons in them.
You can knock her out with the EMPs (though be careful to not knock your augmentations out at the same time) and then unload all you've got while she's paralyzed.
Repeat as needed.
Try to always stay on the move and don't let her get close to you.
You should be able to stay moving long enough to heal up in-between the "paralyze and shoot" rounds.
I also recommend saving after each round, so you don't have to restart all the way from the beginning of the fight if things go sour.
gaming.stackexchange.com/users/1925/Adam Lear
There are two ways to kill her: One is to collect the EMP grenades scattered between the generators.
Throw an EMP grenade and unleash lead to kill her (as mentioned by Anna Lear).
Or the second option, which is a lot easier, is to get the EMP shielding upgrade for the Dermal Armour (if you do not have this upgrade, load an earlier save if you have one and upgrade).
With this upgrade you can shoot the generators which will cause an EMP burst which will immobilise her and you will be free to shoot her, because you have the EMP shielding augmentation you will NOT be affected by the EMP burst.
I found this boss the easiest of the bunch because of this augmentation.
gaming.stackexchange.com/users/5046/Harpal
The only way I could beat her was to blow up the generators around the outside of the arena and jump around like a madman until they stop shocking me.
Rinse and repeat for all four generators.
Then I just had to put a few bullets in her and she went down.
gaming.stackexchange.com/users/3609/t123
There are several good ways.
See the Deus Ex Wiki for a fairly comprehensive list (under Fedorova Tactics ).
I've played through the game 6 times, and now I always rely on the stun gun: the boss battles frankly annoy me, and I've found stun gun to be the simplest, most mindless way to end this one.
Just shoot it enough times—about 25 times on normal difficulty I believe— and then you get to return to the "real" game.
Even if I don't need the stun gun for anything else, it's worth it to carry one for this and certain other encounters.
gaming.stackexchange.com/users/862/Feral Chimp
The simplest fastest solution is to use the Typhoon System.
It only takes 2-3 typhoon blasts on normal difficulty and she's dead.
It took me less than 30 seconds this way...
gaming.stackexchange.com/users/28358/Score
Ok, I was stuck on this for ages as I had no grenades at all.
All you have to do is this: lay an emp mine near one of the 4 generators around the outer circle.
Let her rush up to you with her attack near the mine, but stand back enough
so you aren't killed.
In the lockers there are health kits and hypnotism sticks so make sure you have one of these to use straight away so you are not killed by the electricity from the exploded generator.
Now While she is stunned you just need to pump about 6 times with the stun gun
and she dies.
The trick is to make sure you aren't killed by the electricity in the first instance.
gaming.stackexchange.com/users/22834/stu
I found a Combat Rifle with a Target-Seeking System mod attached very useful while fighting Deus Ex: HR bosses.
Fedorova died 30s after the beginning of a fight, Namir even quicker.
gaming.stackexchange.com/users/7922/Helbreder
The P.E.P.S. is good for this since it stuns her for several seconds.
Stun her, switch weapons and shoot her.
There's a glitch way to do it on the PC version at least.
Stun her with the P.E.P.S. then run up to her and crouch.
She can't seem to attack you in that situation
and she's stuck.
Then you can whittle her down with the pistol or something else if you like.
gaming.stackexchange.com/users/18842/sproketboy
Possible Duplicate:  How do I beat the Picus boss?     I have a heavy rifle with about 170 ammo, no grenades, no typhoon aug.   How do I kill her? I tried just putting all the heavy rifle ammo into her but she kills me before I can unload one clip.
How do I kill the second boss (Yelena Fedorova) in Deux Ex: Human Revolution?
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gaming.stackexchange.com/questions/33108
gaming.stackexchange.com/users/3609/t123
You can knock her out with EMPs or get the EMP shielding upgrade. You can also try Typhoon System and lay an emp mine near one of the 4 generators.  The most prominent strategy is to stun her and then shoot her. Repeat until goal is achieved.
The most prominent strategy is to stun her and then shoot her. Repeat until goal is achieved.