Yes, it will be destroyed. "Blue-Eyes Shining Dragon" ("BESD") can negate the effects of a Spell, Trap, and Monster effects that designate/ targets it. "Dark Hole" does not target a specific monster so it can destroy "BESD".
An example of a card that designates is "Book of Moon", since the player chooses which monster to flip into face-down defence position. So "Book of Moon" could be negated by "BESD" and thus be unable to flip it face-down. If "BESD" were face-down (by perhaps the effect of a non-targeting card like "Swords of Concealing Light"), its effect would no longer be able to active and could be destroyed by effects that target like "Raigeki Break" or "Tribute to the Doomed".
blue eyes shining dragon
Blue Eys White Dragon ATK 3000 DEF 2500
No, it's hard to get out, and easy to destroy.
well its not as rare as many cards because it came in a movie most fans already had it but bascily it easy to find most places
majestic star dragon.
Nova summoner for lights
It's Ancient Fairy Dragon.
Not, the crimson dragon is not a card.
Honest, shining angel, judgment dragon, guardian angel joan, beconing light, monster regeeneration and revive cards like monster reborn.
Obilisk the Tormentor, Slifer the Sky Dragon, and Wing Dragon of Ra.
It is called "Five-Headed Dragon".