What is the intent of 61.93(b)(1)?
The intent of the regulation lies at the beginning, in 61,93(a):


  §61.93   Solo cross-country flight requirements.
  
  (a) General. (1) Except as provided in paragraph (b) of this section,
  a student pilot must meet the requirements of this section before—
  
  (i) Conducting a solo cross-country flight, or any flight greater than
  25 nautical miles from the airport from where the flight originated.
  
  (ii) Making a solo flight and landing at any location other than the
  airport of origination.


Training and an endorsement from an instructor is required before you fly cross-country or to another airport to land.  61.93(b) covers what the instructor must do with you before you can do anything specified in 61.93(a).

In the scenario that you describe you are not "Conducting a solo cross-country flight, or any flight greater than 25 nautical miles from the airport from where the flight originated" or "Making a solo flight and landing at any location other than the airport of origination" so subsection (b) does not need to be complied with at all.

The endorsement would only be needed if you were going to takeoff solo from your home airport, fly to the destination (which as you said is only 10 miles away), and land there since it is required by 61.93(a)(ii).