Doesn’t look bad to me, but then again, it’s your gun, not mine. For very minor streaks I’ve found rubbing in oil can blend on some stocks, really depends on how the wood was finished.. I have a glossy finished cherry stocked rifle with a pale, milky, matte streak from the touchhole that stands out noticeably from the glossy finish around it. No amount of cleaning or oiling fades it, it’s like the finish was eaten clean away. If your gun is in that condition I’d guess sanding and refinishing would be the only option to truly erase the streak.
I like beat up, used looking guns so I leave mine alone mostly.