"When their father and I decided to divorce it probably had the biggest impact on her," Moore said.
The struggle became more pronounced as Rumer, who was then just 12-year-old, suffered public scrutiny for her appearance in the midst of her adolescence, reported People magazine.
"Media attention is tough when you are a kid, it is definitely weird to have that be such public knowledge," she explained in the segment.
"A couple times, things would happen in my family - whatever drama it was - I couldn't leave my house for a week. As I got older and people started you know, commenting on how I look, that's when it really started to affect me."
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"There really wasn't anything I could do to stop it," the Charlie's Angels actress said. "Her self-esteem was nothing. I could only just keep loving her and loving her until she could love herself."
Rumer currently appears on reality TV dance show "Dancing With the Stars".
"When she said, 'I think I wanna do Dancing With the Stars,' my whole insides, I have to be honest, were screaming 'No,'" added Moore.
"But, one of the most beautiful things that I've witnessed is watching her passion become greater than her fear... It has nothing to do with her being my kid or Bruce's kid, it has everything to do with just who she is," she said.