Tenshi no Hina

Hero lost parents, but inherited huge assets at his age of 19 years old. He got lots of attention from all kind of people and withdrew to the villa where he contracted an incurable disease capable of killing in few months. At that time a woman who claimed to be the manager of deceased parents came to the villa. She brought a big egg saying that she was an angel born from the egg and now she would grand hero one wish...

[From vndbreview]