Many non-religious people will criticise those people of faith who say that they “trust in God” to get them through problems. One can see how this idea might keep people from planning and acting in their own behalf. However, that is not necessarily how it works. The idea of “putting it in Gods hands” is just another way of exercising acceptance in our lives.
We plan. We work towards a solution. Then when all that can be done is done we let it go. We do not let it consume us. We do not rack our spirits with worry and anxiety. We recognize and accept that there are forces in our lives which are NOT within our control and we let it go.
You do not have to be religious to do this. A believer might call it turning it over to God but an unbeliever can simply say “what will be will be” and in both cases our fears will be allayed and we will have just that much more inner strength to deal with what comes.