The couple wed on June 10 in a sunset ceremony on her Tennessee farm.
"I felt a joy that hasn't been there before," she told the magazine.
Judd, 48, wore a Houri Barahimi gown and no shoes, while her husband, a drummer in her band, wore a tuxedo outfitted with a vest, pocket watch and holster.
Judd and Moser have been dating since 2009. This is the third marriage for Judd, who was previously married to D.R. Roach and Arch Kelly III, with whom she has two children.