Sam Stosur won the match 6-2 6-3 after Williams was given a code violation for verbally abusing the Greek official.
Tournament referee Brian Earley must now decide whether to fine the 13-time Grand Slam champion.
Williams, 29, has been serving a two-year Grand Slam probation for an outburst at the US Open in 2009.
"Any impact this code violation might have on Serena Williams' Grand Slam probation would require the incident being ruled a major event," said a statement from the United States Tennis Association.
"That determination will be made by the Grand Slam Committee Director."
The incident occurred when Williams looked to have saved a break point at the start of the second set against Stosur, but her loud cry of "Come on!" was judged by umpire Asderaki to have come before the Australian had a chance to get the ball back.Keep Reading at BBC
