As an independent escort choose a name you can live with and up to. Remember you may have it whispered to you at certain intimate moments, and you will have to get used to being called that for hopefully quite a while. For agencies or parlours of course it's a bit easier, but the receptionist will still need to say the name a good few times a day hopefully. So remember that what might sound amusing for a short fleeting moment over a drink, may not be so funny after answering to it a thousand times.
The other thing is of course is the name available? Domains come in many flavours these days, .com, .co.uk, and now more esoteric ones like .london, or .wales, or even .ninja! Best in our opinion is to stick to the main ones. For the UK .com, .co.uk or .uk are fine, maybe if your in London then .london could be appealing and useful.
There are some online tools to help with choosing, beyond just checking availability, and use pattern matching to give you some ideas as well as checking your chosen name across social media.
This allows you to check availability across factors such as common domains such as .com while suggesting similar names, fun ideas, and numerous other variations. If your looking for ideas this is a place to start.