My suggestion would be Tai Chi (also spelled Tai Qi and Tai Ji depending on who you ask...). You might not even think of Tai Chi as a martial art, and that's because although Tai Chi is in fact a martial art, it is also something of a meditative practice akin to yoga. Similar to the aikido suggestions below, Tai Chi is not a striking art, but is mostly about redirecting the opponent's energy, as well as moves that hi…
My recommendation to any newbies is to get past the awkward beginning stage as fast as you can...otherwise you will not progress smoothly.
When I started I went to 4 classes a week. In 3 months I still knew very little but I wasn't feeling like a n00b and embarrassed. I got over the hump.