I think some would point to Phoebe as Scott mentioned and would probably say "See, Scripture says it's ok"
We need to be careful in what we are assuming.
Phoebe was a servant of the church, could have been a servant widow type like I Timothy 5, or just a reputable servant in the church.
The office of Deacon is more than a substitute word of 'servant.'
It's an office explicitly qualified (to men) mentioned often in the context with the other church offices, whether they are termed minister, bishop, elder or deacon.
Offices have authority, and are part of the governance of the church, and from that flows a pattern from creation that God establishes, which ordinarily is men having that authority over members, it is not normal for women to have that authority over men, and that part goes right back to creation.
Lots of godly women serve in the church, no doubt Phoebe was one of them,
but that's not the same as being a Deacon, in that office.
When Deacon's started in Acts 6, seven men were chosen, just as twelve men were chosen for apostles.
There is no denying it biblically.