Her photograph reveals that the hour has stretched to 90 minutes.
I'm already starting to feel like I've had enough of this experiment.
In order to fit in with the general ethos of the website I have invented a wife.
Our relationship, I note, has suffered because we don't spend enough time together (not surprising really, since she doesn't exist).
But she is an old hand at this type of encounter and tells me she's met many men through the site, and that I was probably the only one who hadn't lied about my age.
"Sophia" tells me she thinks relationships have a shelf life of about ten years before boredom sets in, but that she stays married to ensure her children have a stable home.
After a quick search, I get the measure of the women on the site.
Reading it on my laptop in the aptly named Cafe Affaire in central London, I consider what she really wants: a no-strings-attached sexual relationship.
Many of them are middle-class, many have young children.
And all of them are looking for an opportunity to betray their spouses. But I wanted to find out what sort of woman uses such a site.
But in the modern world, in which the internet has become a vehicle for all manner of impropriety, she regards this kind of behaviour as perfectly acceptable.
We have encountered one another via an internet dating service established for the sole purpose of enabling married people to commit adultery.