Thiem was one of the favourites to win the Italian Open and was placed in the same quarter as Nadal and half as Federer.
The Austrian beat Federer in Madrid and was confident of putting on a similar display should they have crossed paths in Rome.
But Fernando Verdasco pulled off a big shock by beating Thiem in their second-round clash this afternoon.
The tie was due to be played yesterday but had to be postponed because of the heavy rain.
Thiem is furious with the way tournament organisers treated him during the downpour.
“I don’t like anything how we’ve been treated players in this tournament,” Thiem raged.
“Yesterday’s was not acceptable.
“They told us to be here at seven in the morning and everyone knew it was going to rain all day.
“They also knew there was going to be a game and the way to the hotel took an hour and a half.
“I could not get treatment because if not, I would not have been able to sleep and they put me to play today at 10am.
“It’s unacceptable. I’m very angry.”
Federer, Nadal and Novak Djokovic were among a host of casualties who had their matches cancelled yesterday.
It set up a blockbuster schedule for Thursday’s play as the top three players in the world are all set to play twice.
But Thiem will not as he heads to the French Open later this month on the back of a damning defeat.