Coritsone Shots – Heal or Pain Relief

Will a cortisone shot (for tennis elbow) actually increase healing or simply provide temporary pain relief?

Been struggling with tennis elbow for 7 weeks. I haven’t touched a racquet in 6 weeks and stopped lifting weights 4 weeks ago. Started taking Aleve twice a day 5 days ago and plan to continue that for total of 14 days then see MD if no better. I was icing it 1-2 times a day for about 2 weeks but stopped after no improvement felt. Any thoughts?