The words consulter, consultor sound the same but have different meanings and spellings. Why do consulter, consultor sound the same even though they are completely different words?
The answer is simple: consulter, consultor are homophones of the English language.
One who consults, or asks counsel or information.
Roman Catholic Church A person, such as a priest, appointed to assist and advise a bishop.
Roman Catholic Church An adviser to a congregation of the Curia.
Definitions from Wiktionary, Creative Commons Attribution/Share-Alike License, from The American Heritage® Dictionary of the English Language, 4th Edition and Wordnik.
Homophones (literally "same sound") are usually defined as words that share the same pronunciation, regardless of how they are spelled.
If they are spelled the same then they are also homographs (and homonyms); if they are spelled differently then they are also heterographs (literally "different writing").