The answer to this would be heavily dependent on the culture and time period involved. Expectations of nobility and controls imposed on younger people vary heavily on those two factors.
That said, let me offer some advice here.
Being with other men in game isn't a problem but interacting with women is. Savoir-vivre helps but I still find myself never too pleased with what I say or do.
Yeah, that's pretty much how your character should feel when interacting with women too. I mean, most people have self-confidence problems, and men are certainly no exception to that. Self-criticism and doubt can factor heavily into a believable character. Especially as a teenaged character. Even though societies gave more responsibilities to people at a younger age in the past, biology hasn't changed that much.
Keep in mind that depending on the culture and time period, nobility might well have a highly distorted view of commoners. Maybe your character was told all sorts of horror stories about common people--not even just by adults above them, but by their peers who didn't know any better than they did. If your character spent their whole life stuffed away in a manor by over-protective noble parents dealing with other nobles and a combination of soldiers and courtiers in service of their father... well that's bound to leave someone fairly ill-prepared to deal with life outside of those confines.
Certainly such a character probably shouldn't view the commoners he's likely to encounter as an adventurer as equal or worthy of respect beyond that required to achieve his immediate ends--even if, in fact, they are equivalently valuable human beings. This tension could create a lot of resentment towards your character by the women he interacts with, and by others in the party who might not be from a noble origin.
And it really shouldn't be relegated to women--if the character takes the presumably common class-oriented view on nobility/commoners, then it would be applied to everyone he meets. Everyone he meets would have to be viewed through the lens of class. Including other members of the party. While that doesn't have to be represented as condescension, it can easily be represented as resentment towards PCs and NPCs whom your character recognizes as more skilled or powerful than their station ought to allow them (in the noble world-view).
Status, image, and power tended to be important to nobility. While it may not be critical to your character (after all, people who would choose the adventuring life of a d&d Player Character would not be your typical person at all), it would certainly be important to the people who raised him and to the subset of society with whom he interacted with for the first 16 years of life before going adventuring. That's bound to have an effect of some sort. Maybe it only tinges his views, or maybe it is a deeply ingrained set of responses. Maybe your character accepts that view, maybe he rejects it. But that sort of thing is bound to have a serious influence on everything from his relations with other party members to his interactions with women.
Another thing to consider might also be his family's reaction to his decision to head off adventuring rather than focusing on his duties.