I take it you mean 'male' chauvinism. 😉
There is no consensus within Orthodoxy on the nature of the diaconate and in fact there isn't really any absolute definition of the Sacrament of Holy Orders in the Catholic Church ether. Do the different degrees of Order mean there are three separate Sacraments or just one Sacrament with 3 different degrees? For example ordination to the episcopate comfers the 'fullness' of the priesthood. In the Tridentine Rite the deacon offers the Chalice together with the priest and says the prayer, 'Offerimus (We offer) tibi' with him. Could this be construed that there may be some degree of 'sacerdotality' belonging to the diaconate?
Before any decision on whether women can receive Orders, the precise nature f each Order needs to be defined.
As for getting used to women in vestments the experience of the Anglican Communion needs to be taken into account. Google Peter North, bishop of Sheffield for the latest twist.