Is it wrong for a woman to baptize someone?
The command to teach the gospel to lost souls and baptize them was given to ALL Christians, not just males (Matt. 28:19; Mark 16:15).
True, women are commanded to not teach or exercise authority over men (1 Tim. 2:11-12), but that command is limited to within the church (1 Tim. 3:14-15). No one is within the church until AFTER baptism (1 Cor. 12:13; cf. Eph. 1:22-23). Thus, no scripture prohibits a woman from teaching the gospel to anyone who is lost – male or female – and baptizing them into the church.
However, if this freedom a woman has offends a brother or sister weaker in knowledge, she should give up her freedom for the sake of unity (Rom. 14:1-15:2).
Pre-Denominational Christianity 
Several years ago a sister in Christ told me this scenario: A ladies Bible Class was being conducted, during the week and a lady asked to be baptized. All of the men of the congregation were at work, so the lady Bible Class teacher baptized the one who requested baptism. The sister who told me about this situation believed it to be totally wrong, arguing that there is no authority for a woman to perform a baptism. I believe the Scriptures teach that a lost man or woman should be baptized for the remission of their sins as soon as possible. Until they are, they are still in their sins and lost. If a man is not readily available to perform the baptism then it would be perfectly fine for a woman to perform the baptism, in my opinion.
Richard Sims