The Dutch international was given a torrid time by Villans striker Christian Benteke - who scored two goals at Goodison Park - and was substituted with his side 3-1 down in the 65th minute.
And, despite a Marouane Fellaini-led comeback stealing a point for the Toffees, Heitinga remained disappointed with his own efforts.
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Heitinga has made 16 Premier League appearances for the Toffees this term, but has largely found himself behind Phil Jagielka and Sylvain Distin in the pecking order.