How does uterine cancer affect your body?

Various way. Depending on the type of uterine cancer: it can go to another site (metastasis), which can affect the organs that it goes to. If you have a hysterectomy (removal of the uterus), along with lymph nodes in selected cases, you usually have a good outcome, depending on the tumor type and stage (where it has spread). Obviously, you cannot have any more children after this.
Lots of ways! Uterine cancer often presents with bleeding after menopause or extensive bleeding before menopause. This common presentation if ignored can result in anemia or low blood counts. Anemia and bleeding can cause significant fatigue. Abdominal pain and bloating can be caused by uterine cancer and in the advanced stages when spread to the lungs for example can cause shortness of breath.