Hi Jen
Most hip resurfacing surgeons would prefer their patients don't ever run - but many patients do. The top experienced surgeons know their athletic patients are going to run so they try to make them wait 6 - 12 months before hard impact sports. Since you are a woman, your surgeon may be even more conservative. If you are a larger woman, your hip resurfacing has the same chance of lasting a long time since large men and women have the same retention rate. It is the smaller women and men that have been having more problems.
A lot will depend on which surgeon you use. The top surgeons will say you can run, but they prefer you don't - but when it is something you have done all your life as you have, it is something that you want to return to. That is the reason for getting a hip resurfacing.
I don't know who you are going to, but you might want to have a consultation with a surgeon that has done a thousand or two resurfacings. That will probably mean you will need to travel, but if you want to run again, I would try to get a surgeon that will work with you on that goal.
You can get free input if you email Dr. Gross of SC, Dr. Rogerson of WI , Dr. Bose of India. Send them a copy of your x-rays in a digital format as a .jpg and ask about running again. See what they say. They are several of the best in the world. Dr. Bose has done a lot of the top athletes and runners.
http://www.surfacehippy.info/listofdoctors.phpPat