If my memory serves me right, in one ocassion Spidey restrained the Human Torch with his ice webs designed to be flame resistant. After that he noticed that his own standard webs can achieve the same result and discarded the new webs. The Human Torch, however, after noticing that he couldn't break free with his current temperature, decided to increase the heat and melted the webs.
Against Cinder, the process will probably be the same. Spidey uses his webs, after a short time she notices that she can't melt the webs normally, she increases the heat of her flames and the battle countinues.
In this match, I think Spidey wins because of his experience and his precog (though Idk how his spidey sense will work because speed is equalized).