My first thought was baby deer, so I was thinking doe-eyed, leggy, gangly, gentle creature. I think names that have strong associations with certain physical attributes are to be avoided as it could be a millstone around the person’s neck. Fawn might grow up to be be a short and stolid RFU hooker rather than a Holly Willoughby type, Thor might become an introverted Oxford philologist. Some names seem to presume a certain path for the child. I’d make a shocking Pixie for example.
Other posters have still worse associations like the verb to fawn, which really isn’t good.