She will, she'll just swap out the table. It has the be one of the same size for better results. Just be careful because (in my experience) sometimes sending them furniture can make them swap it with any furniture that has roughly the same size or place it anywhere in their home. If she does this, you can always go to her home when she invites you, and when you get option to ask for something in her home, buy/get the table you want removed from her.
EDIT: Also, they're more likely (in my experience) to place stuff in their homes if you give it to them when they ask you if you can bring them furniture, even though I've had good results with sending them stuff in the mail as well.