Budge also said he would prefer not to shift the final to Sunday, as occurred in 2012.
"We would double up on Saturday before we played on Sunday, said Budge. "But there are so many contributing factors."
Monday was a trying day for all concerned.
Players had to deal with long waits – the match between Kirsten Flipkens and Donna Vekic started at 4:30pm and didn't finish until 10:45pm, while second seed Julia Goerges' match was delayed by almost four hours, and finally finished at 1:20am.
"This is not foreign to them..we probably feel it a lot more than they do," said Budge. "They get rain all year around and it is just another day waiting to play a tennis match."
There was also an army of around 80 volunteers and ball boys and girls deployed to dry the court on five separate occasions.
Still, fans can look forward to an impressive schedule today, with 2014 winner Agnieszka Radwanska, Sara Errani, Barbora Strycova and defending champion Lauren Davis all in action during the day, before a night session that features Caroline Wozniacki and local hope Jade Lewis.