One more question before we go: why is the Frost's power described as "accidental"? Could it be that the speaker is commenting on how Frost doesn't purposely kill anything?
It just does it because that's what it does. If that's the case, then it makes us think a little more about the poem's stance on Death. Is the speaker angry at Death, or is she recognizing that it's just a fact of life? (Maybe a bit of both?)