Aldwych is a proper noun, most often encountered as a place name in London (Aldwych, the street and tube station). It denotes a specific location and is pronounced with a non-phonemic vowel in the first syllable and a silent or reduced final consonant, depending on comfort with British English. In short, it refers to a proper place and is pronounced with attention to the unique vowel and terminal consonant pattern common to English toponyms.
Full pronunciation guide