Nothing in the Master's words are regarding the wicked. The entire context is directed to pure virgins who are not prepared for the Bridegroom with oil in their lamps. The two animals presented are both clean animals, not one clean & the other unclean. These are servants of of the Master who are coming up short & ending for aionios correction!
The foundation for everlasting punishment =
1. I was hungry & you gave me no meat.
2. I was thirsty & you gave me no drink.
3. I was a stranger & you took me not in.
4. I was naked & you clothed me not.
5. I was sick & you did not visit me.
6. I was in prison & you did not minister to me.
A much more rare translation, but goat can also be understood as young sheep. (as in not fully trained)