"I've been out for nearly five months now", said the former world number one.
Koepka, who is also playing at the Alfred Dunhill Links Championship, said he was very upset when he learned of the extent of Ms Remande's injury.
Fraser shares the lead with England's Matt Wallace, already a three-time victor in 2018, Wallace recording his round at St Andrews in the event where three courses are in play over the opening three days.
The English golfer spoke to her when she returned to her feet after receiving treatment, and she was later seen walking to a golf cart and smiling as she was taken to an on-site medical center.
There was a awful moment for Hatton as his tee shot at the 15th struck a spectator in the head, although she was pictured smiling and hugging the Englishman after receiving treatment.
Australian Andrew Fraser and Englishman Matt Wallace lead at 4 under par.
El Papa ordena ampliar la investigación sobre abusos del excardenal McCarrick
Un mes más tarde Viganó lanzó " su bomba " sobre el papado acusando a Francisco de haber ignorado su alerta sobre McCarrick e, incluso, de haber convertido al arzobispo abusador en uno de sus consejeros.
Family of the woman, who did not wish to be named, told Hatton not to worry but the defending champion, who carded a two-under-par 70, said he felt bad following the incident.
"Doesn't really matter if it's into the wind or downwind, and then you get the cross-breeze off 8 and 9".
All 168 players in the field will play a round on each course, before the final round takes place at St. Andrews on Sunday.
"After what must have been a huge emotional rollercoaster in Paris, this is a more relaxed event and the crowds will certainly get behind the new folk hero Tommy Fleetwood", said Vaughan.