Hmmm i like it, it's a nice image. I think that you haven't written it as powerfully as you could have done: and unfortunately the first verse gives away the last, spoiling your climax.
I'd try it like this:
I saw her stand in front of me,
A face that had no name,
I'd seen these features once before,
Though it didn't look the same.
This stops you giving the game away too early. It also prevents repetitive use of "face", that gradually dulls the message
Tears rolled down her cheeks,
Her eyes were wild with fear,
<-- one word helps the meter
Her lips were moving up and down,
Though her words weren't clear.
<-- this again helps the rhythm of the poem
As beautiful as she was,
No splendour could I see,
<-- avoiding repetition again
The mirror wasn't broken,
Yet her heart seemed to be.
That's a GREAT last couplet!!
I smiled, altohugh she didn't,
Needs an extra syllable
I laughed, yet still she cried,
She looked like she was living,
But inside she must have died.
I looked into the mirror,
What did I really see?
It was a shattered image,
A reflection of me.
And this way your last verse really makes an impact