I do not know Hindu Gods, but do God turn away? or is it we humans who do not hear Gods answer? and when we suffer we think God have left us to suffer?
It is true, that its us humans who ignores God's messages and then we go on and do things which are forbidden in the scriptures, like sodomy, rape, murder etc. Then we suffer the consequences either in this life or in the next life and blame God.
We have to understand that there is a reason why we are suffering. There is always a cause for everything that happens in our lives. Whatever the cause or reason maybe, we are His children after all and we expect our dear Father to be forgiving. But in most cases we see that His punishments are just too severe. That is why, i said in my earlier comment that He needs to be more compassionate.
God (at least in Hinduism) doesn't really turn away completely from his children. He gives us many chances to rectify ourselves. We are being reincarnated again and again (as per our karma) in both good wombs/environments and bad wombs/environments. Reincarnation is a learning process. We keep on reincarnating until we give up our sinful ways and walk on the path of God.