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Katie Holmes steps out after split from Tom Cruise

Katie Holmes leaves a TV studio in New York on July 2, 2012. Getty

(CBS News) Katie Holmes got back to work on Monday, stepping out publicly for the first time since filing for divorce from husband Tom Cruise last week.

The actress was spotted out in New York, where she reportedly kept a previously-scheduled commitment to tape an appearance as a guest judge on the reality series "Project Runway: All Stars."

Pictures: Tom Cruise and Katie Holmes
Pictures: Celebrity splits
Read more: Inside the divorce filing

Cruise, meanwhile, is in Iceland shooting the sci-fi thriller "Oblivion."

Reports about the couple have been rampant since news broke Friday that they had split.

A source told People that Cruise "had no idea" the split was coming and is "totally devastated and heartbroken." The magazine also reports that Holmes and the couple's daughter Suri, 6, have moved from the New York apartment they shared with Cruise into a new apartment in the city.

E! Online cites a source that said the split had been a long time coming. "The fairy tale was over," the source said. "They had become more like friends." The source also said Cruise's career became an issue in the marriage.

Us Weekly reports that Holmes' decision to file for divorce was motivated by Suri.

"This is about protecting her daughter," a source told the magazine. "She wants to be in charge of how Suri is being raised and didn't want her to have an exclusively Scientology education."

Another source told Us Weekly, "She felt she had to get out to save her daughter."

TMZ, citing sources familiar with the split, reports that Holmes is seeking sole legal custody of their daughter because she does not want Cruise to control decisions relating to religion. The website also reports that the "final straw" for the actress was her belief that Cruise wanted to send Suri away to a Scientology organization known as Sea Organization.

The Church of Scientology has denied sending anyone to keep tabs on Holmes in the days since the split, responding after TMZ published a story Sunday saying the actress believed she was being followed by the organization.

An attorney for the Church said in a statement, obtained by, "There is no truth whatsoever to the report (or any other report) that the Church of Scientology has sent anyone to follow or surveil Katie Holmes."

WCBS reports that a white Cadillac Escalade with Tennessee plates had been seen parked outside Holmes' new apartment since the couple's divorce became public. A man in the SUV wouldn't speak to the network's crew and eventually pulled away. The SUV was not  there Monday afternoon.

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