Strangely, the Honduran constitution has no provisions for impeachment. However, it does have this provision:
42.- La calidad de ciudadano se pierde:
5. Por incitar, promover o apoyar el continuismo o la reelección del Presidente de la República
Roughly:
One loses citizenship: For inciting, promoting, or helping the continuation or the reelection of the President of the Republic.
So perhaps there's also a provision about the President needing to be a citizen, which might justify his removal, if not his exile...
Either way, a court should've been involved in the romoval, saying that the supreme court had ruled a poll he planned to hold illegal does NOT justify his exile.