I might agree with you or not, depending on what you're getting at. Exactly what is a responsibility?
It’s pretty simple. Both male and female have the responsibility, when they are not prepared for a pregnancy, to use contraceptives.
Abortion is not a contraceptive.
If your religion doesn’t allow for contraceptives, then I at least I assume it doesn’t allow for abortion either and if you proceed, you do so at the risk of a pregnancy and an entirely new level of responsibility.
Again, abortion is not contraception.