Cirstea climbed over the net to check on Mattek-Sands and was evidently upset by what she saw. She was later seen in tears at courtside.
Mattek-Sands could be heard crying and screaming out for help even once the medical support arrived, with the crowd dispersing after it became clear the match was over.
Many spectators had been visibly shaken by the events.
Mattek-Sands was taken by ambulance to hospital.
A wildcard entry to the singles at Wimbledon, Mattek-Sands is a doubles specialist and in tandem with Lucie Safarova has won the last three grand slam titles, at the US Open, Australian Open and French Open.
Former Wimbledon champion Marion Bartoli sent Mattek-Sands her best wishes, tweeting an image of Mattek-Sands alongside her doubles partner Safarova.