The Pegasus - S7-E12
Admiral Blackwell: [seeing the banner] Captain Picard Day?
Captain Picard: Oh, uh... Yes, it's, uh...it's for the children. I'm a...I'm a role model.
Admiral Blackwell: I'm sure you are. Starfleet out.
The Pegasus - S7-E12
Admiral Blackwell: [seeing the banner] Captain Picard Day?
Captain Picard: Oh, uh... Yes, it's, uh...it's for the children. I'm a...I'm a role model.
Admiral Blackwell: I'm sure you are. Starfleet out.
Trivia: Another joke from the set designers: whenever someone is in the Jeffries Tubes, you will see several pipes on the walls labeled "GNDN" this stands for "Goes Nowhere, Does Nothing."
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