I personally didn't hate GQuuuuuuX,which its actually one of my fav GUndam Series out there:P
But I do have a logical Explanation for this actually,it may be from the same way how most Gundam fans also felt with "MObile Suit Gundam: Witch from Mercury" because most gundam fans aren't used to a full blown Female Lead Protagonist,which many fans were expecting a FUll Blown Colony "War is Hell Storyline" like you see in most previous Gundam series with Male lead Protagonist (GUndam Wing,G GUndam,Gundam Seed,Gundam Victory,Gundam X,GUndam 00 Gundam Z and ZZ,ect) but because GQuuuuuuX and Witch from Mercury mostly has "SLice of Life" Plots mixed in with the typical "War Gundam Battle Plots" it spelled some red flags with many long time gundam fans,and not to mention that the "Animation Style" Was radically different from Normal Gundam series,which a majority of the "Pokemon Animation Team" did the character designs for this series which many gundam fans didn't expect this animation style to be in a gundam series.
Amate Yuzuriha was a pretty likable female protagonist,like with Suellette MErcury (Witch From Mercury),so i had no issues with her.:P
I think another big reason and issue it had to why Some people disliked GQuuuuuuX, (even more so than gundam reconguista in g) was because,since this series only ran for 12 episodes (which we don';t know yet if it'll have a 2nd season),may parts of the plot Felt Rushed,with not enough Time or build up to fully flesh out the characters,and yes,gundam reconguista in g also had its problems with its confusing Story Structure and Pacing issues (Which were later fixed in the movie compilation versions and the manga) but I feel that GQuuuuuuX, could have performed much better,if it were at least a 26 episode or 52 episode tv series instead of 12.