Briana Lin Pouncy was arrested Thursday afternoon at the couple's apartment, the Fort Worth Star-Telegram reported on its Web site.
Joseph Boykins, 21, told police that he and Pouncy had become involved in an argument because Pouncy was upset that the dishes were not clean. She told Boykins to leave the apartment, which he refused to do, police Lt. Paul Henderson said.
Henderson said the woman then tried to physically remove Boykins. During the ensuing struggle, Henderson said, Pouncy bit Boykins' right shoulder and broke a picture frame across his face, causing visible cuts.
The woman then grabbed an approximately 2-foot sword and swung it at Boykins, missing him, police said.
Pouncy was released from a Mansfield jail after posting a $10,000 bond, jail officials said.
Henderson said Pouncy and Boykins had lived together for four months.