I have tried to buy the standalone version of Lightroom 6 three days ago.
I wasn't able to do it and began a chat with help operator.
She took me through different options but it didn't work so she asked me for my card details and name etc.
I gave her this and then I proceeded to buy my software. The chat finished just after I received a message saying my £103.88 had been securely sent to Adobe.
I got connected to another help operator, them I was transferred twice more before I was told to wait 24 hours.
At the time of writing this it is now 3 days and nothing has happened.
What can I do next?
I'm not sure exactly what your question is, it sounds like you did purchase Lightroom 6, and they received your payment.
It sounds like I purchased Lightroom 6 but I have not had any emails telling me to download it on my computer.
In other words, even after spending 2 hours and 10 minutes talking to FOUR different Help Operators I was told to wait 24 hours, but nothing has happened. The money has not gone out of my account yet.
We can't really help with sales questions here, we are not Adobe employees and this is a forum for technical support.
But ... make sure you have checked your junk mail folder, sometimes the e-mails from Adobe wind up going there.