12/14/2011 at 12:00 PM EST
has more important things to worry about than changing her name on Twitter
The actress, who is @MrsKutcher on the social networking site, announced her intention to divorce
husband Ashton Kutcher
"Changing my twitter name isn't a top priority right now," Moore, 49, wrote in a post
early Wednesday. "Sorry it bothers so many of u. should I not tweet until I do?does it really matter?"
The former couple, whose split was in part due to "intense fighting,"
have long been members of Hollywood's Twitterati and used the site to express their love for each other in 140 characters or less.
Moore has approximately 4.3 million followers on Twitter. Kutcher, who goes by @aplusk, has 8.75 million.