I ordered a website from a designer a few years ago. Everything went well during the initial phases of the process, and I really liked the result of his work. Problems started to creep in the minute I gave him the rest of the money, though.
I have logged into the website, only to find out that many of its plug-ins were outdated. I knew a few things about web design myself - at least enough to get a bit scared. So, I called my designer, and I have asked him to update the plug-ins himself. I knew how to do that, but I was afraid that the site may break during the process, and I didn't want it to be my responsibility.
I've got a shocking response from him: he didn't want to update the plug-ins either, because he was afraid that the site will break as well. As you can imagine, that was the last time I ordered a website from a designer. I chose to learn how to design websites myself.
Your mileage may vary, of course. Maybe you are working with a serious, hard-working web designer and you are very happy with the result of his or her work.