I think Free Will does not require omniscience, nor does it require either linearity or non-linearity of time. It most certainly does not require the absence of a Supreme Being.
The full freedom of our choices can sometimes be hard to see because of the effects of other people's choices in the world around us, and because we feel constrained by our feelings or beliefs not to make certain choices. So yes, sometimes it can be "muddy." But the Free Will is always there.
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Dull sublunary lovers love,
Whose soul is sense, cannot admit
Absence, because it doth remove
That thing which elemented it.
(From "A Valediction: Forbidding Mourning" by John Donne)
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