The Celebrity Big Brother winner also confessed that although she is elated now, she was "frightened" of parenthood before giving birth to fiancé Alex Reid's daughter on Sunday (June 17).
"I'm so happy and excited my baby is finally here," Houghton wrote in her New column. "She's so beautiful
"In the days leading up to the birth, I had been waking up at 5.30am worrying about it - I was so frightened.
"It's funny - a month ago, I couldn't wait to have the baby, as I was so fed up of being pregnant but, as my due date got nearer, I decided I was actually happy for her to stay in there for a bit longer."
Houghton and Reid revealed shortly before the birth that they were living apart after a "catastrophic" argument, but they have insisted that their relationship is now back on track.
The couple became engaged on live TV in October after dating for just five months.
Photo gallery - Chantelle Houghton and Alex Reid's relationship in pictures:
Copyright: Rex Features Steve Meddle/Rex Features