If the monitor was powered with 12V instead of 5 then I could see it being an
RP100N251B LDO that got fried (that one has an absolute maximum input of 5.25V, so 12V would definitely have caused that sort of damage), but your mention of the damage coming in via the HDMI cable suggests it may be something else; an
IXD5127 shares the same 50Hxx marking and 5-pin package, is also rated at a damaged-by-12V 6.5V maximum input, and its purpose as a voltage detector also seems like it may be for detecting if HDMI is plugged in.
Then again, there's also the possibility of the 12V damaging something else more important in a less-visible way, which then shorted to ground and took out the LDO.
Figure out which of the above two parts it could be (it might even be something else entirely) from the pinout --- they both have NCs but on different pins.
Edit: IXD5127 datasheet says last two characters are the lot code and excludes G, I, J, O, Q, and W, so it is likely to be the LDO or something else. This is not looking too good... prepare for the worst.