By threatening not to see her again, and holding out a carrot of acceptance, etc., it's just plain coercive and the consent is not enthusiastic.

It's one of the oldest ploys in the book, and it won't wash.

Your final example, however, is OK. She explained why she was uncomfortable. He responded with information and she then agreed. That's not coercive, nor is it an argument. She was worried about STDs and he explained why that wasn't a risk. As long as he's not lying, that's a conversation most couples should have before becoming sexually active. If he's lying, it's fraud.