I was diagnosed with uterine fibroids & an ovarian cyst. i'm anemic from blood loss from above conditions. i do heavy lifting at the gym. is it safe?

Yes: Yes, anemia will have no impact on your ability to perform heavy lifting. The only impact you wil lnotice is in your ability to sustain peak activity, ie you will fatigue more easily. To correct the anemia the bleeding from the fibroids should be stopped and your iron levels should be tested. You should also probably be supplementing with iron.