If you mean "public reading and teaching about the Gospel in schools, in talks, in speaking engagements, teaching at every level, Scripture scholars and theologians in Universities, using print, broadcast or digital media" etc. --- then of course women can proclaim and preach the Gospel.
E.g.I would say 80% of the DRS's (Directors of Religious Education) and 90% of the catechists at the parish level are women. Women evangelists, too --- though we need more, many more.
I "preached" on the Gospel when I gave the eulogy at my father's funeral. But was after the dismissal blessing, i.e. not structurally part of the Funeral Mass as such. Again, it has to do with the order of the Liturgy specifically, not with silencing women. We teach and preach, ubicumque et semper. Just not at homily time.
“homily at Mass”
My point is why not? I mean, I’ve never read anything in the Bible that says women may not. I don’t think Jesus turned women away.