playing against a short stack limper

Me = $5800 Her = $800 10/20 NL commerce casino

I’m holding A,7 off on the button against 1 short stack limper so I decide to raise the pot thinking I have the best hand.

Pot= $150

The Flop comes..
8-4-2 RB she overbets makin it $225 to go

perhaps I'm a bit more careful than most when it comes to the play of garbage hands hands in position. considering I came from the doldrums of the "restricted buy-in" side of the house where it’s explicitly difficult to get a short stack to fold but I decided to re-raise here.

She’s been limping in with small suited cards, A,x suited and small pocket pair. Open bets her draws and check raises sets so I thought I had a pretty good read on her.

I re-raised to $400 which about puts her all-in and she calls with A,3 suited with no flush re-draw

Turn
8-4-2-5
River
8-4-2-5-6

After playing the 200 and 400 restricted buy-in games at the commerce and consistently winning for over a year I moved up to the 10/20 NL min $600 about 4 months ago. I’m playin well but I’m lookin for a critical eye to offer up scenarios or suggestions about playing against short stacked players. Although she turned her str8 and I rivered a bigger one I thought my re-raise on the flop should have won the pot right there figuring she would lay down a pinned wheel..

Comments?