It sounds like there is a bit of a leap happening here.
The instructor told you to look at Bridget a couple of times. Likely Bridget just has more experience as has been attending longer, and was in your eyeline, or easy to see, hence using her example a couple of times rather than someone less close.
Having had this happen a couple of times, it seems like you've felt that there is a comparison happening. It sounds like the comparison is just your position being compared to the correct position, and that then being demonstrated by being shown Bridget's example as above.
Because this maybe felt like you were being compared directly to Bridget in the whole and assumingly felt that meant she's better than you, you've perhaps felt that the instructor is comparing you to Bridget.
The instructor was only comparing your very specific pilates ability in a couple of poses. Not you as a whole. And with the intention of giving you the tools to improve so you can be as good, or as good as you want to be at Pilates.
It sucks sometimes feeling compared to others, especially in a place where you go to have some time to yourself or be yourself, but I think, her coming over and giving very specific instruction, without you being able to see what that looked like would have been difficult to learn from, and wouldn't necessarily have helped you improve.
Plus she has a class of people to help, so by her telling you to look at Bridget, she's giving the people in earshot confirmation of 'Here's a fab example of the right position whilst I'm walking around checking people's positions'.
Maybe you could book some 1 on 1 sessions if you feel you'd benefit from the personal instruction?
I hope you can go back to your class and enjoy getting as good or better than Bridget 🥰