Since uterus & fallopian tubes were swollen after myomectomy & dye didn't pass threw how long will it take for swelling to go down so I can start ttc?

Two months. I would give it two months to let all of the healing finish before you start trying.
Need to repeat. One should not assume that closed fallopian tubes on an HSG were due to swelling. If you are having trouble getting pregnant then the HSG will need to be repeated to confirm tubal closure or patency. The next steps depend on those results.