The suit blocked board members from discussing and taking action on resolutions to censure Places 2 and 7 trustees Mary Bone and Danielle Weston, respectively, at its Sept. 22 called meeting.
A Williamson County judge granted a temporary restraining order two hours before the meeting.
The hearing was originally scheduled for Oct. 6, and it is not clear why it has been rescheduled.
The resolutions were added as agenda items at the request of other board members.
"Several board members have requested that the censure of trustees Bone and Weston be added to a board agenda," board President Amy Weir said in a statement to Community Impact Newspaper.
Both resolutions point to actions at the Sept. 14 board meeting in which the two trustees called a vote for an item that was not on the agenda, the socially distanced seating arrangement.