welcome to the board! your machine has a very small throat area but if you roll the quilt up, start in the middle and work toward the edges and do straight line quilting you should be fine for your first project.
That said a Walking Foot is an attachment that helps make the three layers move evenly, you may not have access to that.
Our foremothers all did machine quilting as soon as machines were available, without walking foot
I have backed small quilts with flannel, but it will shrink more than quilting cotton. If you haven't cut anything yet, swish it all in hot water, wring out, and throw in a hot dryer, that will help.
Best wishes on your first quilt!