My skin is not at all elastic, will my nose be sagging after nose tip filler disappears? 1 week post op HA injection.

I had an HA injection to the tip of my nose last week. I really liked my nose earlier. I am 43, fem; my skin has visibly lost some of its flexibility. It was a snap, one second decision/ answer for the leftover filler whether to lift my nose a little. Now, I want my old nose back. I wonder what if I keep the HA for the next 6-12 months, as my nose is bigger now and my skin is inelastic, will my nose tip be drooping down after the filler disappears? (It was not drooping before) Thank you