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Passengers on a cruise ship carrying a Dallas health care worker who handled specimens of an Ebola-infected patient expressed mixed feelings today after arriving at the Port of Galveston in Texas.

The Carnival Magic reached the port about 5 a.m. The health care worker and her travel partner were allowed to disembark with restrictions, according to the Galveston County Health Department.

The health care worker had been self-quarantined on the ship and hasn't shown signs of the virus for 19 days, officials said.

One passenger on the ship, Chris Perry, said the experience reminded him of the AIDS scare in the late 1980s, "Where people were just fearful of anybody around it."

"Outside of that, you know, once everybody kind of started understanding, it wasn't that big of a deal," Perry said.

Another passenger, John Cascio, said he was not too concerned.

"I really wasn't worried about it," Cascio said. "I knew they would take care of what's supposed to be taken care of."

But one passenger who chose to speak anonymously had some concerns.

"I was worried because if she did have Ebola, you'd be quarantined on the boat," the passenger said.

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Cruise Ship Carrying Health Worker Monitored for Ebola Returns