The usually forthcoming reality star, 29, has remained mum thus far about the tabloid reports, but a friend tells PEOPLE that Wilkinson "cries every day" and is holding off on making any drastic decisions regarding her marriage to Baskett, 31, for the sake of their kids.
"She wanted to throw Hank out but couldn't because she is healing [from her daughter's delivery] and needs help with the kids," says the source.
The couple wed five years ago and have two children – Hank IV, 4½, and Alijah Mary, 8 weeks.
According to the friend, Wilkinson found out about the devastating news from a phone call "right before the [report] came out."
"She confronted Hank, [but] he denied it until he found out that the woman took a lie detector test and had to admit it," says the source.
Adds the friend: "She feels so stupid walking around like her life was so perfect and that her marriage was so solid. She feels like such a fool."