Why within 10 days?
It is arbitrary, and it really is nothing more than a letter. But it sets expectations on what consequences may arise if they choose not to respond. It is now up to Wizard of the Coast to decide whether and how to respond.
* forces the issue, and demands action from WoTC; fairly common
* keeps the issue front and center, ensures it is visible for the rest of the community, which means they can act accordingly (instead of it quietly happening behind the scenes, followed by targeted Cease and Desists, settlements, etc.)
* only requires a response; Hasboro might be able to buy time, offer an olive branch, etc.