Doctor did see an improvement since their 8-0 defeat there in the League Cup at the start of the month though.
He said: "I thought we started brighter than we did last time.
"But obviously we've let ourselves down with some of the passing and turnovers, and then obviously conceding, but we've got the toughest games out of the way now so we'll take from today and move on, we've had a tricky start to the season."
"In terms of the players, there's a lot of things we are happy about, but we had five injuries before we came here today and then the two during the game which has made us have to push some that aren't quite ready yet, but we'll see how they go and be ready for our next game in a couple of weeks."
Hibs moved up the pitch well from the kick off, and were rewarded as linkup play from the left into the box allowed Graham to tap in from close range after four minutes.
Accies surprised the hosts three minutes later, a great through ball from Lauren Leslie setup Daloisio outside the area to send her effort spinning past Hannah Reid for an early equaliser.
Hamilton looked to have been lifted by the goal, but the Hibees regained their lead, as Arthur forced Fleming to parry the ball away, but Graham reacted well to knock it through the Accies keeper's legs on the 25th.
Hamilton had a further blow heading towards the break, Daloisio was forced off for treatment, and seeing the period out with only ten, Hibs stole a third on the stroke of halftime through Harrison.
Accies continued to contain the home side well, but twelve minutes into the restart Harrison found net, slipping her low shot from inside Hamilton's box past Fleming to take the first of the half.
Six later Hibs jumped to make it five, Fleming did well to deny Lizzie Arnot from the right, but Arthur snuck her shot behind the keeper from the left.
Hamilton were then forced to make another change, bringing off their other forward Karen Baillie after a head knock and a couple of heavy tackles.
Arthur completed her brace sending home a great strike from outside the area on the 79th to make it 6-1.
With five to go Harrison buried her third from the spot before a great diving header on the end of a freekick on the 90th minute sealed the win for the hosts.