"warm feelings" and a "strong connection" are kind of vague for those two cards.
2/Cups is more in line with the "connection." It's that person you meet and talk to all night long. You connect. And you *feel* that you could be more. But that remains to be seen. For now a "good connection" is good enough. Hierophant isn't about "strong connections." He is about traditions. What is "right and proper." This means that the person would feel uncomfortable doing something not "proper" or traditional with you (for right now).
Now it's possible that these two card together indicate what some people feel on "first sight" of another person they're drawn to: "That's my wife/husband!" You've heard stories of people who felt that when they saw their future wife/husband for the first time, right? Of course, you should keep in mind that there are people who have felt that and didn't marry the person. But many have that story. Whatever the connection this person feels for you, it's "old fashioned." He likely doesn't feel like just jumping into bed with you. He feels strongly that he should go step-by-proper-step with you.