Give it a spacing class.
In you assignments in schematic, there are net widths, spacing classes & net classes.
Make a spacing class code.
Select the net, choose it's properties and apply the class name to it.
When you transfer to PCB, in your PCB (or in your template) you setup spacing classes using the same name.
Only in PCB you setup the actual spacing required.
I.E. from xxx class to unclassed, from xxx class to yyyy class.
Do NOT set up unclassed to unclassed.
Read the help file for more help on spacing classes.
Remember, when you aply a spacing class to a net, this overrules all your design rule spacings and includes spacing from the nets, pins, pads, vias everything that net is connected to.