Alexandra joined Matt Baker and Angellica Bell on the sofa to talk about her return to the West End stage and new album.
However, Matt and Angellica first took the opportunity to congratulate Alexandra on her engagement that took place after her Strictly Come Dancing stint.
Angellica gushed: “First things first. Congratulations. You got engaged!”
Alexandra then smiled: “Thank you! I definitely didn’t expect it and I am probably still in shock now.
“But it was just an amazing moment for Josh and I, so very, very happy.”
Alexandra went on to reveal that she didn’t speak to her “shy” fiancée for months, and that her engagement was a secret that was kept from her family.
The 29-year-old X Factor winner explained: “This is a little bit of a story that I have not told to anyone.
“My family didn’t know, so I had to tell them personally face-to-face before I told everyone else.
“But I wanted to keep that moment with the family and his family of course and celebrate with everyone together in a very peaceful way and then announce it.
“Because I think people kind of guessed. My hand was hiding all the time.”
Alexandra confirmed her engagement in January with a social media post of her hand with “I said yes!” written on her palm.
With a ring on her engagement finger, Alexandra and Josh could be seen sharing a kiss in the background.
Alexandra added: “He’s such a great guy. I actually met him on the Bodyguard and, believe it or not, he wouldn’t talk to me for months.
“He’s a very shy person. But yeah, it took me months to even get to know him.
“And he’s such a great person so I’m very, very pleased that God introduced me to someone beautiful.”
The One Show airs weekdays on BBC One at 7pm.
