Sure it tells you something useful. It tells you that this is up to God. And along with other things you have heard, it also adds to them to tell you not to reject him. Along with other, other things you have heard, it tells you not to expect him to make things look like what you expect. For all I know, he may already have regenerated you, and you are struggling against what you know internally.
About that, the one coming to him will not be cast out, the statement was said with context: Those that the Father gives him are the ones who will come to him. Also, in another place, "Without faith it is impossible to please God, for he who comes to God must believe that He is, and that He is a rewarder of those who diligently seek Him." Happily, that last does not mean that there must be NO doubt on the part of the diligent seeker, because saving faith is the work of the Spirit of God, who does, of course, not doubt. It doesn't have to be a large amount of faith, but true faith. Even as in, "Lord, help my unbelief."
As in, "A bruised reed he will not break, and a smoldering wick he will not snuff out."