[Rumil]

Hi Mnemosyne,

this is a real cracker, I'll try a more geographic interpretation (mostly because I can't think of green-faced characters)

Out of time, out of place, - more Edwardian England than Dark Age kingdom
Gold my hair and green my face. - leaves in the autumn (?), green grass

Maiden-like I fenced me in; - withdrawn from the world
He loved me and I loved him. - Frodo loved the place, perhaps reciprocated?

Though we quarreled by and by, - there was mention of dragon invasions
For my sake he left to die. - to Mordor

My guards left me, fair and fresh; - Rangers withdrawn
They arrived and fouled my flesh. - Sharkey and the ruffians

When at last we met again, - Scouring
Both our selves all scarred with pain, - wounds that can never fully heal in F's case

To my horror I could see
He no more belonged to me. - Frodo depressed and disillusioned

He left me under another-- - Sam eventually
Where shall I find such a lover? - the Fairbairns of Undertowers?

So my answer is The Shire - close or far away??