The former X Factor star was among the 18 famous mothers nominated for the award, which she won in 2011. Her removal comes after she was caught smoking while pregnant with her second child.
"She's naturally disappointed but accepts the decision," a statement said.
Speaking via telephone on ITV's Loose Women this afternoon, Solomon said that she could "accept" the response the images had generated.
"All of the responses are something that I deserve," she said.
"I don't for one minute think I can sit here and say it is okay - so I can accept that kind of criticism and although it's not nice to hear [the health risks] I know that it's true, and maybe that will give me more power to stop it and nip it in the bud.
"There's ups and downs to people being critical because it makes you think, 'Oh my God, I really must sort this out'. And you feel even more guilty than you already do because, don't get me wrong, I felt guilty before all of this came out.
"But there is a little a bit of you that thinks I love my children with all my heart so some of the comments are a little bit harsh."
Solomon, who is due to give birth to her second child in early May, added: "It's absolutely devastating not just because I saw [the pictures] in the paper - it's something I'm not proud of and I'm really, really struggling with in general.
"It's not just because everyone knows now. It's something that I don't want to do and that I'm not happy doing so it's horrible."
Discussing her efforts to give up, she said: "I really have been and am in the process of [giving up] before these pictures came out. It's a horrible habit and I care more about my children than anything in the whole wide world so anything I can do to give up means more to me than anything else or what anyone thinks."
> Stacey Solomon: 'I fear my postnatal depression will return'
> Stacey Solomon on pregnancy: 'It'll take me ages to get my body back'