Parvati said to Shiva it is wrong to believe Shiva does not possess anything - not even wealth. It is also wrong to believe Shiva does not clothe his body. It is wrong to believe that Shiva is unfit for marriage to Me.
Shiva possesses without attachment. Shiva's body, when Shiva takes a body, is not his own. And because Shiva is actually a compound being, manifesting here as the masculine half of Parvati, he has always been fit to marry Parvati, his feminine half.