A cozy place to spend some time undisturbed by the crowd sounds quite comfortable and appealing to me. Being an improvised stop you can pass on the coffee detail, I feel that to get really good coffee, one has to focus on getting it. However, those desserts are definitely worth another visit. I hope in the end the wait wasn't too long.
Very nice of you to include the opening hours of the shop, it's very helpful.
Most places in Australia now serve pretty good coffee... so, I was a bit surprised that this was a bit under par...