Erect the tepee
For the tepee, shorten four round sticks to an equal length (the length depends on the size of the tepee in your miniature world). Put the sticks together to form the tipi shape, fix them with some hot glue if necessary and use sewing thread to tie them together at the top.
Once the tepee is in place, stretch the piece of fabric over it and fix it with a little glue.
Finally, paint the lights of the fairy lights with bright colours, just as you like.
To add the finishing touches, you can decorate the whole scene with more fabrics as well as miniatures. How about small additional picnic blankets or a bicycle? This will make the whole thing even more realistic.