Hi Som,
not sure what you are asking exactly? Technically example in example.dedyn.io is a subdomain of dedyn.io.
Are you asking about example.dedyn.io or other.example.dedyn.io?
Again it is unclear what you mean exactly?
What is the result of dig example.dedyn.io (or dig other.example.dedyn.io)?
If that does not yield answers try: dig @ns1.desec.io example.dedyn.io (or dig @ns1.desec.io other.example.dedyn.io)
And all of the above specifying AAAA records, e.g. dig example.dedyn.io aaaa, etc.
Also how did you set values for the A or AAAA records? Did that yield a good status?
HTH
fiwswe