If you have only had one or two dates then don’t feel that you should hide or delete your profile.
On the other hand, after that first date you should be pretty clear on your intentions and it’s at this point that at least hiding your profile should be a step you are looking to take.
It is also a situation that is rarely covered by the dating sites help pages or forums.
Doing so can actually have a detrimental effect if the other person is taking things casually.
If they are still using the site and see you have taken your profile down, it could send out a message that you are taking them far more seriously than they are taking you, making them run for the hills, or decide that they have you on a piece of string to pull any time they fancy.
Firstly, you could remove the photographs from your profile.
This sort of removes you from the interest of most people, sending a message to the person you are dating that you are hedging your bets but still displaying a strong nod towards them.