First of all, I think cost is definitely one of them, especially in choosing long-term contraceptives like the IUD or the patch. The finance around it is really the biggest barrier.
Second, something that we don't talk enough about is the coercive aspect of contraception. A woman will pay for 30 years. If she herself doesn't have the money to pay, it will be her partner who should, hopefully, share part of the bill, but we don't see that. Unfortunately, during a conversation on which method they should choose, money has an impact. If women are allowed to make their own choice and they don't have to beg to have help to pay for the contraceptive method of their choice, that will have a huge impact on their self-esteem. They will feel more respected.