The former Blue Peter host is said to have kicked Bovey out of their home after finding out he was having an affair with 24-year-old Zoe de Mallet Morgan while she worked in Canada.
However, Turner is apparently unsure of whether to end her 11-year marriage and has told friends that she "needs some time to think".
"Anthea is very confused. She needs time away from Grant to get her head around it," a source told The Sun.
"She is heartbroken by what has happened but she still loves him deeply. She needs some time to think."
Another source has claimed that even if Turner does decide to separate from Bovey, she will keep things amicable for the sake of his daughters, Lily, 20, Amelia, 19, and 16-year-old Claudia.
"She won't get in a situation where she will tear him apart because she's got a very strong relationship with his daughters," the insider said. "They are very close, they're like best friends."
Bovey, who is currently staying in a London hotel, has denied allegations of his infidelity.