Well that's a huge bummer. Anyone ever have a stuck pixel fixed by those YouTube videos?
The fact that it's one solid color is a good thing because it shows it's a stuck pixel and not a dead one most likely would be white on a iPhone because how the backlight works but sometimes dead ones are black... Anyways, I have had them kind of videos work on a Sony psp that had about 15 solid blue pixels and after leaving it on charge and playing a repeat pixel fixer over night it did work for me, not sure about iPhone but should be about the same I would assume... You have nothing to lose tho trying