gnomophobia
n. An unusually strong fear of, or aversion to, garden gnomes.
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Examples
2014
As for me, I’m a fence sitter. The little red-shirted men sitting with fishing poles beside ponds are — ouch — insufferably cute. Yet I also think there is way too much snobbery in gardening.

So if our gnomophobia is waning, that’s surely a good thing.
—Sonia Day, “Gnomes back in gardeners’ good graces: The Real Dirt,” The Toronto Star, March 29, 2014
2013
It’s good to confront the received wisdom that all gnomes are nasty," Mr. Llewelyn-Bowen said. Referring to his wife, he added: "Also, Jackie has had to overcome her poshness and confront her gnomophobia.
—Sarah Lyall, “Common Gnomes Pop Up at Rarefied Flower Show, to Horror of Many,” The New York Times, May 20, 2013
1999 (earliest)
Ms Cathy Ratkisser…of GnomeWatch USA stirred up a hornets' nest when she protested at Wymsey's Gnomophobia (see last week's issue).
—“The Archive, October — December 1999,” The Wymsey Chronicle, November 26, 1999