I don't get that with Effexor. Norpramine was the first drug I was on. It lifted my mood but had other nasty side effects. My parents said after many years they finally had their daughter back. I was diagnosed with major depression at age 21 and am presently 28.
People respond differently to medications.
I would say from experience that if it helps your depression it will help your anxiety since they usually run hand in hand. I have a friend who is taking effexor and he had totally different results than I did. He explained it as I have heard others explain antidepressants working as a light swith coming on. Like they were back to their old selves again. That was fun.