The fusible you have is probably lighter weight than you would want to use in a purse. Also, I don't think you want to have the fabric "glued" to the interfacing. I just think you'll be happier if you get a lt. to medium weight of non fusible for a purse.
But I would do a search for the "bow tuck" experts here on the board. If you don't get any info soon enough through this post and see if they can guide you better. You could PM one or two that come up on the search, and maybe get an answer sooner.