Mick Jagger is right when he sings, "You can't always get what you want." It's true, sometimes just by trying you can get what you need, but that's not always the way it works. What if you get what you want only to find out it isn't what you imagined it would be? What if your dreams come true, only to turn into nightmares? They say the best laid plans of mice and men often go astray. Well, in Pygmalion that's true. That said, Shaw also shows us what happens after everything ends up wrong. He offers no quick fixes, but he does leave room for hope.
Eliza only completes her transformation when she realizes that her original dreams were unrealistic; that is, she can only really function as an individual when she is forced to reconsider the usefulness of her education.
Eliza's own aspirations are frustrated by the very conditions which should have, supposedly, enabled them. By agreeing to participate in Higgins's bet, she also agrees, ultimately, to compromise.