Why do you care what it's named? Set it as the default search engine, and just type your query in the address bar and you'll get the results. In fact whatever you typed in duckduckgo's search field can be typed directly in the browser address bar (including switches like !g or !im)

Or if you use it frequently, just type 'd' and it'll be the first result.

As for the name, I call it DDG, which is also what I call David de Gea :-)