You can also rotate or flip the connector icon to get more inputs or outputs where you want them. With the connector icon showing in the front panel window, right-click on the connector icon and select Rotate 90 Degrees, Flip Horizontal, or Flip Vertical.
On a more general note: I try to avoid creating VIs with no outputs. You are often forced into placing a VI with no output in a sequence or other structure if the VI needs to finish before other VIs can run. If the VI has an output, you can use the output and data dependency to force subsequent VIs to wait. If the VI has no other logical output, I wire Error In to Error Out so I have the option to use an Error In/Out chain to control the execution order in the calling VI.