I use single point center focus point try and focus on eyes then recompose
Sounds like you did it right. It looks like you were using a fairly shallow depth of field (guessing f2.8 or f4 maybe?). One thing I learned when doing a "focus and recompose" is that, especially when you are using a wide aperture (shallow DOF), when you do the recompose after the focus, you have to be very careful about staying exactly parallel to your original focal plane. Otherwise, the original focus point (the eye in this case) can end up slightly closer or further from the original focus distance when you recompose. This can also happen if your subject moves slightly while you are recomposing. This can be tricky, especially when you have a very shallow depth of field. The more shallow the DOF is, the more unforgiving the focus point is with small changes in movement of either the camera or the subject. It can be frustrating I know.
For what it's worth (probably not much) one little trick I learned in a course I once took, is, when recomposing, be sure to move left/ right or up/down in exactly the same plane. If you twist the camera at all either left or right or up/down, then you will be changing the distance to your original focus point. At shallow DOF, even a very slight change in distance-to-focus point can throw off your focus.
That said, it's still a cute picture and the focus issue isn't really noticeable at normal viewing distance.