Often times when life gets difficult and we stress out from it, we find that the shoulder we need has disappeared. The extent of our emotions and the drama that accompanies it causes people to flee.
When all others find it difficult to handle us in this type of state, Jesus invites us to Himself. These times are when He wants us most. He wants us to understand that no amount of emotion will keep Him away from us. He wants to enable us to work through it and find Him in it all.
In fact, His promise to us in Matthew 11:28 is the opposite of what humans can handle. He says, "Come to me, all who are weary and heavy-laden, and I will give you rest." He doesn't want us to wait until we have our act together to be near us. In the storm, He wants to walk with us.