Eyelids can look “tired” from a number of reasons. The more common ones are bags under the lower eyelids, excess skin of the upper and/or lower eyelids and drooping of the eyebrows. You don’t have any of these.
Your eyelids slant downward towards the sides; the corner where the upper and lower eyelids meet (called the canthus) is lower towards your ears than near your nose. There are a number of surgical techniques that can be used to raise the lateral canthus. Sometimes, there may be some hollowness of the bone of the eye socket as well. This is also treatable. Seek out a surgeon who is versed in this procedure for a more definitive discussion.