Are you running into the room and on top of one of columns /doors? From there you should have 50/50 chance of the mobs shooting you to death. I strafe right to left and unload gally onto her. If she's not singing yet shoot the mobs then when she starts and she's standing still then snipe/rocket her.
Yeah I did that and it worked. Like you said it's 50/50 sometimes the adds will shoot you to death and sometimes they won't even bother you. But what annoyed me the most IMO is that as soon as Ir Yut spots you she spams her shit in your face and you stand no chance on that door, especially if you used invisibility like I did. If found that attacking her before she can see you though basically prevent any attacks from her and it helped me a lot. She's easy to kill with Ice Breaker as she won't even try to hide from you and just stand there like an idiot. But man it took me like 5 to 10 hours to do it and to find a well oiled strat. I'm relieved I got it done but now I have to kill Crota and from what I saw it's gonna be complicated without Gjallarhorn or HoC or any RL that deals constant dammage. All I have to down his shield is basically my jolder's hammer machinegun and it takes soooo long.