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If Deborah were under the New Testament, that may have some bearing on the matter, but she wasn't and so it doesn't. Furthermore, Deborah was called to be a Judge because the men wouldn't do it. She was literally called to shame the men back into their God called duties. No such authority or exemption is given in the New Testament, so the question becomes are we living under the Law or the Gospel?

There are things that I may not like or even agree with in the Scriptures, but it's not my place to question God as to why He does something. It's my place to say "Speak Lord, for your servant hears" and then DO WHAT HE COMMANDS. He has commanded, through Paul, that women are not to be in authority over other believers. Why are so many willing to challenge God's Word on this? I swear I could almost hear "has God truly said" being whispered.

He has commanded, through Paul, that women are not to be in authority over other believers

Not so because children are believers and I assume you wouldn't have a problem with women teaching school or Sunday school. Or would you?

You may be interested in digging more deeply into the Ephesians passages regarding women. Here's a salient point addressing the text you refer to:

In either case, we should notice that Paul did not employ his usual term for "the normal exercise of authority" (exousia). He chose an unusual word (authenteo) that could carry negative connotations such as "to usurp or misappropriate authority" or "to domineer." The unusual term probably signifies an unusual situation. In the Ephesian context at least, women had misappropriated authority by taking upon themselves the role of teacher.

Much more here:

http://www.biblegateway.com/resources/commentaries/IVP-NT/1Tim/Men-Women-Worship