From the angle of the photo, it looks like it's enclosed within the wicker weaving towards the base of the bag. Personally, it's a handmade product and isn't sticking out too much, I've seen other wicker products where the wicker sticks out quite a bit. In those instances where it can pull on clothing, I would recommend returning it, but IMO this isn't as bad as that (which was what I was expecting), it looks well enclosed within the weaving so I would leave it, but it's really a personal decision whether it bothers your wife or not.
You'd also have to weigh up whether it's worth ordering it online and possibly to find that the other bag has something similar.