Gender relations are pretty antagonistic in Othello. Unmarried women are regarded as their fathers' property and the play's two marriages are marked by male jealousy and cruelty (both wives are murdered by their own husbands). Most male characters in Othello assume that all Venetian women are inherently promiscuous, which explains why female sexuality is a huge threat to men in the play. Othello is easily convinced his wife is cheating on him and feels emasculated and humiliated as a result.
We should also note that it's impossible to discuss gender and sexuality without considering race – several characters in the play, including Othello, believe that black men sexually contaminate white women, which may partially explain why Othello sees his wife as soiled. See also our discussions of "Race" and "Sex" for more on this topic.
In the play, most male characters assume that women are naturally promiscuous, even if there's no concrete evidence to support such ideas.
Othello is like Shakespeare's The Merchant of Venice in that both plays feature fathers who view their unmarried daughters as their property.