Which term means well-known and distinguished?

The term that means well-known and distinguished is "illustrious." This word is often used to describe individuals who have achieved great recognition and have made significant contributions in their field, earning them respect and fame. The root of "illustrious" can be traced back to Latin, where it implies being bright or shining, which metaphorically extends to someone who stands out due to their achievements, reputation, or prominence.

In contrast, the other terms do not convey the same meaning. "Idolatry" refers to the worship of idols, or an excessive reverence for someone or something, which does not imply distinction. "Impair" means to weaken or damage, which is unrelated to the concept of being well-known or distinguished. "Hovel" depicts a small, squalid dwelling, which also has no connection to fame or distinction. Therefore, "illustrious" is the appropriate term that captures the essence of being well-known and esteemed.