As a Half-Orc I have Relentless Endurance:
Relentless Endurance When you are reduced to 0 hit points but not killed outright, you can drop to 1 hit point instead. You can't use this feature again until you finish a long rest. (PHB p.42)
While wild-shaped "you retain the benefit of any features from your class, race, or other source and can use them if the new form is capable of doing so." (PHB p.68)
So, as a half-orc druid in wild shape when my temporary/wild-shape hit points drop to zero can I choose then to drop to 1 hit point without ever reverting form? Additionally, what happens to the "carry-over damage" that usually applies to a wild shape taking more damage than its current hit points?