grant (someone) asylum

Translations
предоставить (кому-то) убежище
The country agreed to grant her asylum due to the political situation in her homeland.
Страна согласилась предоставить ей убежище из-за политической ситуации на родине.
Definitions
To officially allow someone, usually a refugee or persecuted individual, to stay in a country and be protected by its government, typically because it is unsafe for them to return to their home country.
Words
asylum

noun
убежище
grant

verb
предоставлять