I finished my period but i am feeling extremely weak. i have a follow up with my provider on the third week of jan. could this be anemia?

Possibly: Some women feel fatigued and weak with or after a period. For some this is hormonal cause, for others it is because they lost enough blood that either they are anemic (low blood count) or the iron stores (ferritin level) is low. You didn't say what your periods are like, but if a woman has heavy periods this is more likely to occur. You could take iron pills until you see your doctor.