If you're a foodie your definitely out of luck on Malta. Eat seafood for the best meals.

You can shop anywhere but I liked the craft village as there was a variety of handicrafts for sale in a small area. There's a good market in Marsaxlokk on Sundays and there's a craft village in Valletta.

<< any ideas of places to go >>

Why did you choose Malta if you don't know anything about it? Have you checked posts and trip reports on Malta on this site? There's plenty of info here. I would also suggest reading a guidebook before you leave.

correction:
you're out of luck

I went to Malta alone for 9 days, and I am a single female. Malta seems to inspire strong feelings among travelers--people tend to really like it a lot, or not at all. I liked it, but can see why others don't.

I suggest you check out Gozo, even if only for the day. If you like shopping, check out the open air markets as adrienne above, suggested. I liked the Sunday one outside the gates of Valletta for the liveliness. It gets very crowded, though, so get there early.

You may also want to consider a day trip to Sicily, which includes a trip to Mt. Etna. I didn't take it because it seemed too rushed. If I had it to do over again, I would build in 2 or 3 days in Sicily instead of spending all 9 days in Malta.

Where are you staying? Most of Malta is dead at night. I recommend St. Julian's, which has more things going on.

If you type Malta in the searchbox above, you will find lots of info and threads on Malta. Also check out:

visitmalta.com
http://www.malta.com/

Ya iam in Malta alone too .from 15/11/2012 to 15/04/2013