she fed into Anakin's worse aspect like his jealousy (Cough cough clovis cough and as
@Bear Ribs pointed out
Not to mention the fact that I think it was the revenge of the Sith Novel where it goes into Padme's inner thoughts where she admits that she likes that ultra jealous ultra possessive part of Anakin because essentially he's like a lion that she could aim at her enemies if she wanted to and she knew that if she asked him to he would kill for her without question.
She literally has a palpatine moment where she is willing to feed into Anakin's mental illness because it's useful. I think in the end obi-wan was right. Don't trust politicians.