The issue with her bringing Brun in after the fire was that she was quick on the draw to accuse Clinton of being a straight up monster, even though Brun described him and his actions as friendly and compassionate. There's being worried about your friend being taken advantage of, and then there's what Renee did, which was project a vile archetype on Clinton, a person she had not met and knew nothing about other than being the guy who helped Brun after her bar burned down. This became even worse when she started dictating a lifestyle on Brun without thinking, though I'll give her the credit that she did relent after being confronted on it.
The problem is that in context or out of context, Renee has left an impressionable distaste in my opinion of her and it's hard for me to think of ways where that opinion would change.
I saw some say that it's like Faye without the heart involved, which is true. Faye's snark and all around attitude always ends on a note of wanting to see her friends be ok, or at least is compassionate to them under all of it. While I don't want to see a Faye 2.0 or knock-off or anything in Renee, her character archetype is just plain dislikable in and out, and I mean this from an in-comic perspective and as a reader. You can have a vile, unlikable person and still have them enjoyable to read in a comic, while Renee is downright not enjoyable to read and detracts from my personal enjoyment of the comic since I feel her place in the comic has no reasoning other than to be the insult-generator. Fun for a short, brief time, but seeing as she's gotten so much screen time in the last few months of the strip, I'm personally burnt out and done with the character.
EDIT: But let me mention that today's strip is definitely wonderful with Brun and Clinton. It's a magical thing to see two drunk people yell-agree with eachother