You could do this non-destructively.
If you want to really cut:
The text needs to be outlined (Type > Outline Text)
Apply Offset Path (Object > Path > ...) to the line. The function will make a copy of the path.
The outlined text might be a group, then the pathfinder will produce unexpected results, so ungroup it.
Then select the g and the fat line and use the button subtract in the pathfinder pnel.