Former Blue Ellen White fired in off the underside of the bar six minutes into the second-half for the Citizens but Rachel Williams levelled with a stopping header.
It was Caroline Weir who decided matters with a swinging 25-yard blast midway through the second-half to settle the Group C encounter at the Academy Stadium.
Blues kept probing for another equaliser but while it was not to be, Tejedor felt the display compared favourably with last month’s 3-0 league defeat on the same patch.
“I am happy with the way we played, especially in the first half, and I think we keep getting better with every match,” said Tejedor.
“We are still in the process of building and will be in that process for the whole season.
“In the first half our ball possession was 47 per cent, it was good and we had four shots on target. When we came here three weeks ago that was 41 per cent and no shots so we did much better than the previous time.
“We felt we could have had something else from the game, for a long time we were in a good position and if we had been able to keep it at 1-1 for a bit longer, to settle and to control the game then maybe it would have been different.
“You need to be very close to your best to beat Manchester City and while we could have had more, I think we should be happy with the performance.”
Defender Kerys Harrop missed the match due to a muscle strain but Tejedor reported no concerns about the captain’s long-term fitness.
“It is not a serious injury and from what we know now we are expecting her to join the team, hopefully for the next game,” added Tejedor.