To some extent, it depends when you open the main presents. We do stockings in the morning, before breakfast, and then the main presents from friends and family are opened after lunch (and the washing up), because that is how my family did it, and it spreads the fun out over the day - hence stockings have always seemed like a good idea, because it gave the dses something to play with in the morning.
But if you do all the present-opening first thing, then your dd will have, as you say, plenty of other things to play with, and not having a stocking won't matter to her.
I do think that little things - even from the pound shop - don't have to be tat - they can still be fun things that a child will enjoy, and I have always enjoyed watching the dses open their stockings - in fact, dh and I do stockings for eachother too, and though the boys are 16, 18 and 20, I will still be doing stockings for them as well.
The only downside for me is that I have to think of stocking fillers for 4 people - and I do sometimes slightly resent the fact that dh only has to think up stocking fillers for me. It is harder, too, now that the boys are older - I used to put in colouring pencils, toy cars, bouncy balls - all of which they loved, but which weren't expensive - but now I scrabble around for inspiration - so they tend to get a pair of boxers, new socks (usually jokey ones), some grooming products, and the aforementioned hot chocolate mix, cream and marshmallows, as well as a big tube of smarties and the chocolate coins.