Drywall/hollow wall anchors suck, they rarely work well. Can you find the studs? If you can put a single screw into a stud, you could then hang it from a wire via the plaque's 2 holes. And the hanger will be much stronger, self leveling and you won't make a mess of the wall. But you will see a bit of wire on the plaque.. unless you use fishing wire.
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