Irelia isn't broken. Conqueror is.
Once again: Hashinshin isn't a game dev. Hashinshin being butt-hurt about XYZ doesn't mean he has good ideas. You shouldn't make an entire rune solely for Hashinshin's type of champion, then make a whole balance patch around Hashinshin's style of thinking, just because he got pissed that he got ganked that he flamed your whole company and told you guys to kill yourselves live on Twitch. What has it gotten you? He still insults you guys constantly. He still makes a victim-case out of top lane constantly. He still loses to Riven constantly. Nothing has changed AT ALL except this stupid rune now exists.
We really don't need Conqueror in the game. It invalidates Press the Attack. It invalidates tank early games. Tanks being out of flavor in top lane means there's less defense for carries in other parts of the map, and that means upfront burst gains more mileage because no one's there to take it. Rather than arms racing everyone around Conqueror, Conqueror should just be axed either for something else or for nothing at all so that champs like Jax and Irelia can be more tolerable in solo queue.
Irelia isn't the problem. Conqueror giving her magic/physical/true damage at the same time while it never goes on cd as long as she's fighting is the whole problem. Stop. Listening. To. Hashinshin.
And no, this isn't a thread calling people to "hunt" or "harass" the guy. This is a thread that's calling out the fact that listening to him has caused a massive amount of damage creep in top lane that solo queue tanks aren't equipped to deal with. Pro play may be a different story, but solo queue can't handle Conqueror very well at all. Any extended trade in top lane goes to whoever has Conqueror because it provides so much power at once.
and 
being too strong being the reason, not because THEY were broken.