The male alien has been building or hiding a spaceship. But he is discovered. He disguises himself. And in the end, after accepting that he cannot escape, he sits and removes his eyelashes or maybe his eyelids which were part of his disguise.
This sounds a bit like The Man Who Fell to Earth by Walter Tevis.
Many of us will be familiar with the film adaptation starring David Bowie and remember the scene where Bowie/Newton is trying to remove his eye shields but is shaking too badly to do it. That scene exists in the book as well:
When he brought his hand, carrying the tweezer, toward his eyes, the fingers began to tremble uncontrollably. He drew the hand back quickly. He tried again, but could not get the thing near his eye. His hand shook violently this time. “I’m sorry,” he said. “Just a minute more…”