People reports that the singer has responded to rumours suggesting that she is having an affair with actor Eddie Cibrian.
"This is a difficult time for me and my loved ones, but I appreciate all your continued support," wrote the young singer.
As a guest on Regis & Kelly, Rimes mentioned that everything was going well, but added, "There’s rumors all the time."
Rimes celebrated 7 years of marriage to Dean Sheremet.