Lovely. Just flip the stem to start with (make sure it doesn't have a warning not to flip it, most are fine) and see how you get on. You always have the option to move the saddle forward slightly to get the clamp in the centre of the rails.
I'm inclined to agree with robb - especially for a no cost experiment. Your stem appears to have a slight drop from the perpendicular, maybe only 5 degrees. But flipped, that's a 10 degree difference. And your saddle seems to have maybe 2cm available at the back. Both those would amount to quite a change in position.
However, I recently got a shorter stem (90cm, I think) with a 40 degree rise for my commuter bike. It's a fugly bit o kit
, but I am a happy bunny now
, so if the above tweaks don't work, do what you've got to do. After all, you don't see it from this angle when you're riding it, and riding it is the important thing.