Honestly they need to introduce Abby earlier. Make her a C-plot at the Fireflies base. Give the audience glimpses of the base that are intentionally misleading because it is from the POV of a naive kid. Then when you get to the end of TLOU in the show, have a scene where we previously saw Abby's POV, then we then cut to what her father actually did and we see the horrible shit he is doing. This creates some audience sympathy because a) it shows Abby was left completely in the dark about what was going on b) makes the audience more sympathetic to her because in her eyes, her innocent dad was killed by some crazy bearded psycho. Then if the show continues past end of TLOU1, you follow her dark spiral downward as she is left with nothing but revenge.
TLOU2 had such a negative reaction to Abby because they essentially tried to create a Negan killing Glenn situation, but Negan was a much stronger character and the comics treated him as an antagonist. Negan doesn't become "good" until he is defeated, imprisoned, and years pass by. Abby just shows up out of nowhere, kills Joel, and we get some weak backstory that is supposed to garner sympathy/paint her as a victim but the audience doesn't care because all this came after she did the deed. It doesn't feel "earned".
It's a lot easier for the show to fix this narrative issue than the game, because they can actually plan ahead with the show vs. the game trying to shoehorn stuff in later.