It depends on how far along the GC process initaiteed by your mother is. If she has file I-130 for you, you technically could be denied
TN due to immigrant intent. It might not happen on your first TN (at the border) but could come up later at renewal time.
You do realize that it will take about 7-10 years to get GC thru your mother, so if you are turned down for TN for this reason, you might just want to cancel this fruitless I-130, and then re-try TN a few months later, and then try to get GC thru employment.