If the "Moe" in your title refers to the character Moe Szyslak, you might be thinking of the episode (not to be confused with the classic Season 3 episode).
The specific title does not appear to correspond to a single, widely known piece of media under that exact name. It likely refers to a combination of concepts or a niche visual novel/game title.
: The story follows Akari, a high school student whose entire identity is tied to her "oshi" (the idol she supports), Masaki. Her world shatters when Masaki is accused of punching a female fan, causing a massive "flaming" scandal on social media.
This critically acclaimed Japanese novella (winner of the Akutagawa Prize) is the most direct match for the "SNS Idol" and "Burning" (net flaming) themes.