Katniss' journey in "The Hunger Games" has always been about fighting against oppression when it seems impossible. From her perspective, romance was never a priority, and focusing on a love triangle is missing the point of the series. The big Gale versus Peeta debate does ultimately resolve itself, but it does so naturally. During the war, Katniss is not emotionally prepared to love anyone and can only find a partner once conflict is resolved.
Katniss has feelings for both Gale and Peeta but they represent significantly different things (via Bustle). Gale is a tie to her past and the struggles she had to endure. Gale has been hurt by the war and becomes poisoned by it. He can never move past his experiences. Peeta, however, represents closure. Peeta has been thrown into deathly games, tortured, and brainwashed. But he still represents hope for the future. When Katniss sees him again, he is planting flowers for Prim while Gale is only responsible for her death. This comparison makes Katniss understand what she wants for the future. Peeta represents new life where she can put the games behind her. Yes, the love triangle is resolved, but it doesn't happen immediately. Only through living together amicably in District 12 and healing their respective wounds do they officially enter in a romantic relationship.