If you're looking for a specific term, you could use:
* Golden goat: This is a more general term that could refer to a goat with a golden coat.
* Gold-plated goat: This is a more literal description of a goat that has been covered in a thin layer of gold.
* Goat with gold ornamentation: This is a descriptive term that could be used to describe a goat that has been decorated with gold objects.
Ultimately, the best way to describe a gilded goat depends on the specific context and the desired level of formality.