Can a woman wear high heels after having a total hip replacement?

Yes. Prolonged and daily use of high heel foot wear may cause problems in the feet especially the front part. But for short periods yes one can, but it is important to train gait with flat foot wear, feel steady and in control and then progress to heels to avoid risk of fall.
Absolutely. Wait until your walk is normal with flat shoes, and then you can kick up your heels!
Usually... Most people become much more functional after the replacement than they were before. The barriers to high heels after a hip replacement are likely to be unrelated to the replacement itself. Weight and problems with other joints are much more likely to impact functionality.