Did Kay actually have an abortion?

She was supposed to be in the compound while Michael was away the whole time. Tom Hagen, the acting Don while Michael was in Cuba, was with her, and says that she miscarried. Hagen after an assassination attempt on his boss/brother would know if a doctor came in out of nowhere, as the compound would be under tight guard. Did Kay just say that to make Michael mad and divorce her?

Edit: Ok I was not expecting this much controversy. I asked this genuinely, but it seemed like a couple people took it personal(it’s strictly business). Goodnight.