"A lot of our members are quite elderly," Dobie explained. "It's the way that things are now. Young women are working and working longer. That's a bit of a downside.
"Most clubs are just a ladies section in a mixed club so it does mean there are considerable extra responsibilities such as staff, ground maintenance, starters and two greenkeepers.
"Financially it's becoming more difficult as time goes on as we don't have the numbers. The older ladies here will talk about when they used to come up to pay to play on the course in the summer holidays.
"People used to be desperate to play and queue up but we're not in that favorable position now.
"We are finding it harder to make ends meet and the longevity of the club probably is not too rosy."
Just up the road at the Lundin Links men's club -- where a weekday round costs $120 -- the scenario could not be more different.
"There is no comparison with our wealth and the wealth that is in the men's club," Dobie added. "They still have a waiting list for membership. They are in a very fortunate position financially.
"The ladies' club might just be sustainable if we have a closer relationship with the men's club."
In fact, Dobie argues that closer relationships between men and women in the game of golf -- and beyond -- could be the solution to the furore over the female-ban at Muirfield.
"We may all have to give in to the point where all clubs are mixed," she said. "It's the way things are going in society and in sports.
"I don't see that sports clubs have any reason to be any different. It's just equality in all things.
"In time, what we're doing just now will look pretty archaic to future generations when they see that certain people were excluded from certain golf clubs."
Peter Dawson, chief executive of the R&A, which organizes the Open, argues that the single-sex policy of Muirfield -- and others -- is a historic hangover.
"Single sex clubs are still something of a feature in Scotland," Dawson told CNN. "It's a historical thing actually because women came to the game of golf when men were already established.
"It's something that is reported as an issue far more than the actuality of it. We have a situation where about 1% of clubs in the UK are single sex - it's a very small number.
"Golf has moved on from the stereotypes of 50 years ago. It is chalk and cheese and we'll just have to wait and see what happens in the year ahead."
In Windsor in the south of England there is already a positive example of a single-gender club that has happily merged into mixed living.
The Sunningdale Ladies' Golf Club -- which can count the late Queen Mother as its club captain in the 1932 -- was established in 1902 as a place for women to play the game.
It took more than a century for men to be admitted as members -- but club secretary Simon Sheppard says the advantages of mixed membership are self evident.
"There are ladies out there who do not want to join a ladies-only club," Sheppard told CNN.
"Then there are other people who might feel intimidated by a male-dominated environment. Here those people might feel less intimidated.
"Society is mixed so there is no reason for this club not to be. The best friends I've made, I've made playing golf.
"I play golf here with my wife very happily and afterwards we have a damn good Sunday lunch in the clubhouse."