Hi there, it sounds long-winded but I wonder if it would actually be helpful for your DC if you sought therapy for your anxiety about their long-term anxiety, if that makes sense.
This is because i) you'll then be prepped and experienced at what therapy is like, and also what kind of techniques are used for anxiety and also ii) 'co-regulation' is protective for your child. What I mean by that is, if you feel calm, that helps your child feel calm. If you feel confident that if they have anxiety it can be helped, they will have more confidence.
The flipside is that whether or not you think you are communicating your anxiety, they may feel it and unfortunately this may increase their risk of feeling anxious. It may show on your face when they stammer, for instance, that you are worried about them worrying about it.
So this might be a good time to seize the moment, and start a virtuous cycle. Model getting help for your worries, lighten your own load, and that is likely to long-term help your DC.
Ps you sound like an amazing loving and caring parent, I bet the two of you have a beautiful bond.