I have been involved with RPGs in general for a long time, but have only been involved with tabletop RPGs (like D&D 5e, currently) for a year or so.
In my current game (D&D 5e), I play a charismatic Paladin who is strong, kind and headstrong. I, however, am rather introverted and do not enjoy "roleplaying." Another player in my group is a very charismatic person who does enjoy "roleplaying," but he plays a rather dopey strong/dexterous ranger.
I chose to be a charismatic paladin because I, myself, am not charismatic, and wanted to be charismatic and outgoing in this fictional world we play in. But when we play, I feel as though, because the other player is naturally a charismatic person, his character gets away/succeeds with more charisma-type situations in the game than my charismatic character.
I will say things like, "I charismatically persuade this person to assist us," and the DM responds "OK, roll for Persuasion." The other player will say "Fellow soldier! We need thine assistance with [blablabla. Enter speech here]. Won't you aid us?" And the DM responds "of course sir!"
Or a situation will come up where I say, "I break out an uplifting, motivational speech to bolster our troops' morale." And the DM responds, "Well, what do you say?" And I stumble and respond, "Come on, guys! Let's fight! Yeaaaaaaa..." And then my uplifting speech fails, and the other player will just bust out the Braveheart speech verbatim and succeed. (These are rather exaggerated examples.)
This feels a bit unfair. How can I bring this problem up, and what is a good way to balance a group with both a naturally charismatic player and a naturally introverted player?
I have mentioned this issue to the DM in passing, without trying to make a big deal out of it or sound like I'm whining. More or less, I'm often left with something like "Just say what you want your character to say."