Huma Abedin, Hillary Clinton’s longtime aide and confidante, acknowledged that Mrs. Clinton’s use of a private email server while secretary of state created frustration at times because of computer glitches but said she did not raise concerns about the unusual arrangement, according to a transcript of a deposition made public on Wednesday.

Ms. Abedin, who served as Mrs. Clinton’s deputy chief of staff at the State Department and is now the vice chairwoman of her presidential campaign, said her boss’s use of the private server was never intended to sidestep federal record-keeping laws. Mrs. Clinton, she said, wanted to protect her personal information “just like anybody who has personal email would want to keep their personal email private.”

The exchange focused on a 2010 email first disclosed by the State Department’s inspector general in a scathing report last month, in which Mrs. Clinton raised concerns about accepting a new BlackBerry because she did not want “any risk of the personal being accessible.” Mrs. Clinton has previously said that using a single, private email address on a private server was simply a matter of convenience.

Ms. Abedin is the seventh of eight aides and department officials who have now given sworn testimony in a legal proceeding brought by Judicial Watch, a conservative government watchdog organization. The organization’s case began with an inquiry into Ms. Abedin’s special employment status at the end of Mrs. Clinton’s tenure at the State Department. The group’s initial request for documents under the Freedom of Information Act turned up little, but the matter was reopened last year after Mrs. Clinton’s exclusive use of a private email for official State Department business became known.