Pocket AA question.

[propaganda]

First off, this isn't a bad beat post. Also, I don't have the hand history (sorry).

Blinds were 25/50
I was on the button with AA, UTG limped in, I raised to $200.
The BB called and the UTG player folded.
We each had about $800 left.
Flop came 7 8 10 rainbow. I bet 400, bb went all in, I called.
This player has yet to show down a hand (all were won without showdown), and he hasn't been in many hands. Should I have played this differently?
Results in white below.

<font color="white"> BB had JTs, turn is a rag, river comes T. BB wins with three of a kind tens. </font>