Yes, flexibility of body and physical perfection for Yogasana is important. However more important is the state of your mind, Meditative mind. Your flexibility might be excellent but if your mind is not attentive, you are merely doing some physical exercise, not Yoga.
B.K.S. IyengarIf you open the armpits, the brain becomes light. You cannot brood or become depressed.
B.K.S. IyengarAs we shave it happens that we cut ourself with the razor blade; this does not mean that we must not shave in the morning any longer. It is the same thing for yoga.
B.K.S. IyengarWhen you cannot hold the body still, you cannot hold the brain still. If you do not know the silence of the body, you cannot understand the silence of the mind. Action and silence have to go together. If there is action, there must also be silence. If there is silence, there can be conscious action and not just motion.
B.K.S. Iyengar