"I was shocked and appalled at the audacity by her to think that she could get away with that, and I was very disheartened that I couldn't keep anything private," Worden told KPRC.
McClain's attorney, Rusty Hardin, told the television station in a statement that "family cases are extremely difficult and private matters for all parties involved."
"Neither Anne nor we will be commenting on this personal matter," Hardin said. "We appreciate the media's understanding and respect, as maintaining privacy, is in the best interest of the child and family members involved.”
In a statement to KPRC, NASA said it had no comment on the matter.
"NASA has no statement on this and does not comment on personal or personnel matters. Anne McClain is an active astronaut."
NASA officials told the Times they were unaware of any crimes committed on the space station.
McClain, who returned to Earth in June after her six-month mission, took an under-oath interview with NASA's Office of Inspector General last week, the newspaper reported.
"She strenuously denies that she did anything improper," Hardin told the Times.
Hardin told the newspaper the bank access from space was an attempt to make sure there were sufficient funds in Worden's account to pay bills and care for the child they were raising. Hardin said McClain continued using the same password and claimed she never heard an objection from Worden, the Times reported.
The fight from space might be the first case, but Mark Sundahl, director of the Global Space Law Center at Cleveland State University, said it probably will not be the last one.
"The more we go out there and spend time out there, all the things we do here are going to happen in space," Sundahl told the Times.