Obstruction?

[bsnalex]

At a recent game, batter hits fly ball to right field. F9 picks it up off the bounce, fires it to hone, where it's caught by F1, who is standing just inside fair territory on the broad edge of home plate. F2 is standing in foul territory, behind the point of home, backing up the throw.

R1 from third, who got a late start as it was a fly arrives at home as F1 makes the catch. F1 swings his body around to make the tag, which promptly hits runner in the tummy with a two handed tag.. Runner made no attempt to slide. Runner falls down, pitcher falls down, then shows me the ball. I call runner out.

Manager claims obstruction on pitcher's part. I maintainthat because the pitchers feet were off the baseline, it's runner out.

Did I get it right?