Head coach Desiree Ellis was delighted with her team's performance as they placed one foot in securing qualification to this year's continental competition.
"We analysed them and we felt that they were going to sit back in the first away leg to try not to concede," Ellis told the SAFA website.
"We worked hard to breach their defence and the 2-0 win should put us in good stead in the second leg.
"We switched off right at the beginning and they could have taken the lead but for most of the game, we were in control. We created a lot of opportunities but I felt we played at their pace and we had to tell our players to speed the game up and retain the ball quicker," added Ellis.
"The tie is not over though and we have to make sure that we do not concede. We have to be aware of the long balls and I felt Bambanani Mbane and Noko Matlou dealt well with the balls this afternoon because we prepared for it.
"You could tell Algeria are a team with a good fighting spirit and they did not give up.
"Thembi Kgatlana asked me how long to go before 90 minutes and two minutes later the ball was in the back of the net. We needed that second goal because when you play away from home, it can become difficult."