Qualifier n. : One who, or that which, qualifies; that which modifies, reduces, tempers or restrains.

Example:
Where can I watch the Italy vs. France Euro Qualifier on the Internet for free?

Taxonomy
modifiers, adverb, noun phrase, adjective, Grammatical modifier, free encyclopedia, adverb phrase, verb phrase, optional element, determiner phrase, search, clause structure, grammaticality, Semantically, prototypically, constituents, drawer, set it down.

Defination from the web:
qualifier) is an optional element in phrase structure or clause structure[1]; the removal of the modifier typically ... In English, adverbs and adjectives prototypically function as modifiers, but they also have other functions. ...