The Anxiety Prone Brain....

When people have an anxiety prone brain, they tend to think in terms of, "what can go wrong" or "what is the worse case scenario".  They or we, can jump to negative conclusions.  A good aspect of this form of thinking is that there is a sensitivity to others.  We need to understand that this sensitivity requires diligence to understand.
So, if and when, you have anxiety at work, you can misjudge how others view you.  You can think that these other people dislike or think you have no talent.  So to not put yourself in the seat of always being the victim, realize that not everyone is going to like you.  But you can learn to work with them.  The way to get around this is usually to check out the facts with the other person, learn to work with them. 
So if your driven to succeed, you can feel defensive about feedback.  Perhaps this needs to be digested slowly, through an email.  Can you trust the other person to give you feedback in a manner that is acceptable?  Can they cushion the feedback with positive things and then ways to improve in the middle?  Can you step back and tell them that you will get back to them on that subject?  This is learning to not react and be defensive. 
Being honest about what is causing you to hesitate, can be taken in a positive or negative way.  Hopefully, what your saying is taken as an indication of being brave and authentic.  And if it is not, then perhaps this can be discussed at a later time.
So, if your concerned about how people are perceiving your feedback, then you could learn to also include what your wanting.  You can cushion what your saying with positive feedback with the gooey stuff in the middle.
Anxiety can teach us about understanding.  With the fear of rejection, you work harder.  You can add caution to also enhance your work performance. 
You can learn about your anxiety to help you understand how to maximize the positive aspects of your engagement with people.  You can challenge and accept yourself.

LENS neurofeedback can help the level of anxiety to lessen.  It smooths out the brain waves.