Married is a past participle in form and it functions as part of the Present Perfect verb has been married. Present Perfect verbs take the form HAVE/HAS + Past Participle or HAVE/HAS + BE + Past Participle. If the past participle comes after BE, then its function is that of an adjective. Note that, as a past participle, it can't function on its own. It needs a verb or a form of the verb BE.
Main verb: has
Form of BE: been
Past participle: married <adjective>
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