Hey man, don't sweat it. Learning new behavior is a hard line to cross, especially if we already associate that behavior with something "negative".
In your case, it's associating dominance with awkwardness and not maintaining your dominant frame because of the awkwardness which - you believe - arises. But the thing is, whatever you're feeling about your behavior, she'll feel it too. Take these examples
- If you think you're awkward when you're dominant, she'll feel the act is awkward too
- If you think you're taking advantage of her when you're dominant, she'll feel the same
- If you think you're giving her the best time EVER by being dominant, guess what - she'll feel that too!
- There's also one last option, which is you don't think ANYTHING about dominance. You just
are dominant, or maybe you like to take the lead which is also a gesture of dominance. And because women want to submit to men they're going to bed with, it is definitely benefitting both you and her.
I'd suggest you try to be as openminded about it as possible. The best way to put minimal pressure on yourself is to not associate dominance with anyhing particular for now. Do it because you have to - not because she asked you too. Later when you have some reference points, you can do whatever you want to
As for how to do it...
She asked you to persuade her - I assume verbally. However, I'm going to provide both a non-verbal and verbal way.
- The non-verbal way: when she asks you to persuade her, you can give her a sexy look (bedroom eyes, sexy smile) for 10 seconds, and move your face towards her - slowly! Then you just put your lips on hers, but you don't kiss her - you just gently touch her lips with yours until you feel the time is right to kiss her or bite her lower lip - still slowly. All this slow movement is teasing, and it's a fantastic way to sell you(r dick). Eventually and unexpectedly, you put your hard member inside her.
- The verbal way:
The girl: no no wait, I'm not ready! Persuade me, sell me your dick!
The guy: You should pick this dick because... it can take you to space... and make you stay there... in allllll eternity
She is so turned on that she bites her lips in excitement, and can't wait for your hard member to enter inside her
Now, the line doesn't really matter because the verbal way consists of two factors: words and tone. Of course you need to say something that makes sense in order for her to feel you're making an actual sale! Examples could be "This dick.. can make you cum so hard.. you'll barely remember your name for a week" or "Wait, I can't tell you that... you'd cum just by hearing it". But the point is how you say the lines - or your tonality. It's your tone that makes your words send the message you want her to get. You can try imagining the same quote above by the guy with different tones. Try at least one where he is confident as fuck, and one where he is weak/awkward as fuck. What is his whole vibe like during these cases?
The best way to maintain this frame and lead here correctly, is to be openminded and not associate the act of dominance with anything particular, like I said before

Good luck