thank you very much for the comment.
who plays that at this tempo
I can not imagine it, not because of difficulty, just because of the musicality of the piece. In my opinion this tempo or maybe a little higher or slower would be appropriate for this sonata. However there are many different interpretations, arrangements and approaches.
I recommned listening to Manuel Barrueco who is the best player of Scarlatti's music with guitar.
I am sure that you will enjoy playing this peice. So, do not hesitate and get out the score.