Price, 34, tied the knot with Hayler, 25, in the Bahamas on January 16 after dating for just three weeks, reported Daily Mirror.
"I know my marriage to Kieran is going to attract criticism and that there will be people selling stories on the back of their perception of me and my decision. I will take that criticism on the chin and argue my corner where I feel it is necessary," Price wrote on her official website.
Price was earlier married to singer Peter Andre and Alex Reid.