How old is she? I might be wrong, but im afraid she is not a she. BSL hens are usualy black and brown, roos are black and white.
Black Sex Links are a barred mother, with a non-barred father. The hen only passes barring onto sons, so you can tell the chicks apart because the black chicks with a white/yellow dot on the head have the barring gene and are thus cockerels, and the ones without the spot are pullets.
Usually, hatcheries use a Barred Plymouth Rock hen, and often a red rooster like a Rhode Island Red. The offspring inherit some red or gold leakage.
That being said, you could technically use almost any non-barred rooster with any barred hen, so long as nothing is going to hide the spot on the head.
I don't know if these are BSL or not, but it's not impossible that a hatchery used different birds which resulted in silver leakage instead of red or gold. But, somebody will probably tell me if a silver bsl would be impossible.
View attachment 4143626it looks like this alot, like it's not even growing from the right spot lol that's what's making me wonder what's going on with her
Funny enough, I've actually recently talked with someone on here with a BSL with an odd tail.
I take care of a neighbor's BSL hens sometimes (they're 1-2 years old, all laying) and at least one has a funky tail feather like it grew too long. So, it's not impossible for a hen to have a tail like that. I couldn't tell you if yours are indeed BSL, but I think they could be and it just might be a glitch in the hybrid. I feel like the pattern appears to be female-specific?