Blue Orange
Gone to Texas
Not a Superhero. Superbeing. Occasionally Heroic in a given arc... but Loki's a villain and antagonist.
Though I should also note: Super Morality kinda went out the window in the late 70s through the 90s. But I can't think of any superheroes who maintained the title after committing acts of sexual assault.
In the Frost Giant's Daughter (the chronologically earliest work of Conan's life by Howard though it was written later) Conan fights alongside some Aesir against their Vanir opponents. He's the only survivor of the battle with 80 dead on the field when a practically nude woman appears and lures him into an ambush by Frost Giants.
He kills the Frost Giants then gets ahold of Atali, the Frost Giant's daughter. She calls out to Ymir, god of Frost Giants, who rescues her with a lightning bolt before Conan can rape her. Conan is knocked out and other Aesir from the raiding party find him, so he thinks Atali and the giants were just a dream.
Howard makes it -super clear- that Conan didn't -actually- commit rape, but absolutely intended to. Therefore Conan is innocent of all wrongdoing, because Howard was a garbage fire of a human being... but yeah.
Conan? Not a superhero.
She tries to get him killed beforehand, as you point out. Doesn't justify it, but makes the act seem 'less evil', at least to readers of Howard's era. A modern hero would laugh in her face and walk away.
Your underlying point, though is valid--Conan isn't morally heroic, and this has always been one of the key dividing lines between sword and sorcery/low fantasy and high fantasy. Low fantasy heroes are out for themselves, high fantasy heroes are trying to save the world. Howard still tries to maneuver him out of doing anything too offensive in that arena (though of course standards have shifted in a century--Deckard's forcing Rachel to kiss him in Blade Runner looks a lot worse 40 years later, though even then it wasn't something a 'good guy' hero would do).