Trivia: Near the end of the episode, Picard and Crusher walk out of the cargo bay. As the doors close behind them, you can see Tasha Yar waving to the camera from inside the bay. Her character is killed in the next episode, but this one was filmed second. The actress was waving goodbye to all of her fans. (00:42:10)
Trivia: As Clara talks with Troi, a silver colored model of a Constitution class starship with reversed nacelles is seen on the shelf behind her.
Hide and Q - S1-E10
Trivia: In this episode, as Picard talks to Riker about the Q power, he walks around his desk. As he does, a model of the Enterprise A can be seen by the wall. In later episodes, the model is of the Stargazer.
Trivia: The Star Trek: The Next Generation novel "A Herd Rain" was based on this episode. Picard and Crusher are pictured on the cover in the clothing they wore in the episode.
Trivia: As Troi talks to Picard about the language of the Harada, there's a model of the Enterprise-A behind her painted silver. The difference is that the nacelles are flat rather than in profile (straight up) to make it appear as a different ship.
Answer: He brought the Borg to the Alpha Quadrant and showed them that it was full of worlds waiting to be assimilated. Guinan's homeworld was their first stop, and they assimilated everyone and took over the planet, leaving The Survivors of her race without a home. Q is ultimately responsible for that.
Captain Defenestrator
By the time Q takes the Enterprise to meet the Borg, Guinan already knew who they were and they had already destroyed her world. Therefore the above answer can not be right. I believe Guinan is much more than she appears, and her people have had encounters with the Q in the past. It is these interactions, that obviously were not pleasant, that fuels her distrust.
oldbaldyone
That's what the above answer is saying. Q brought the Borg to the Alpha Quadrant (not Earth) and the Borg destroyed Guinan's home world in the late 2200's, which is why she hates Q. Although she met Q in 2160 and they both saw each other as enemies right away.
Bishop73