HONG KONG — A Filipino woman who sheltered Edward J. Snowden, the former National Security Agency contractor, when he fled to Hong Kong has been granted asylum in Canada, where she arrived on Monday with her daughter.

The woman, Vanessa Mae Bondalian Rodel, was part of a group of asylum seekers in Hong Kong who briefly allowed Mr. Snowden to stay in their homes in 2013.

“This is a really great day,” said her lawyer, Robert Tibbo. “She’s departed Hong Kong. She’s left behind all the distress, hopelessness and uncertainty in life, the discrimination and marginalization she has suffered.”

The Hong Kong government in 2017 rejected the asylum claims of all seven migrants connected with Mr. Snowden. Since then they have been living in limbo, fearing deportation while awaiting decisions on asylum applications to Canada.