Bouchard says Lin is a "Legal US Citizen" and Finch says he's sponsoring her daughter for US Citizenship. If Lin is a legal US citizen, then her daughter is automatically a US Citizen (Only if the daughter was born after Lin became a citizen). There error is likely that Lin is a US Citizen since she competed for the Chinese National Olympics team, or she is a dual national with US and Chinese citizenship which would also give her daughter US citizenship.