Aimhigh (you too, Blessed), I believe this Scripture refers to the conduct of the Liturgy --- at least, it's located smack in the middle of an instruction on the conduct of official public prayer --- and arguably to a woman's position in the the Church (hierarchy). Since the hierarchy of the Catholic Church is defined by the Sacrament of Holy Orders, this is still maintained to this day. Only men are recipients of this Sacrament.
It cannot mean "under all circumstances" (i.e. in politics, in school, on academic faculties, etc.) because women have always to some extent participated as laypeople (non-priests) in roles of both teaching (e.g. deaconesses, prioresses, abbesses) and ruling (the monastics just mentioned, as well as secular authorities: Queens, countesses and the rest.)
So your objection is, I think, not centered correctly. St. Paul is not talking about academic appointments. He is talking about roles in the hierarchy.
The context shifts in verse 11. Verse 12 forward don’t say a word about prayer. It speaks about teaching and having authority, not prayer. Teaching is a part of academics. Teaching theology in a seminary would definitely apply to this passage.