I am getting a partial on the bottom front. Will it fit because I have gum loss? (Photo)

If the impression is taken properly and the lab follows some basic principles the partial should fit. Don't sweat this.

Given the amount of gingival (gum) recession you exhibit, my bigger concern for you would be whether or not the teeth that will anchor your future denture are stable enough. The shape of the anchor teeth will also dictate how easily seated the denture will be; the uneven nature of your gums post-extraction may be compensated for with the denture teeth and denture base. 

Ask your dentist about ridge augmentation prior to making a new partial..........................................