Udy will be fine, people like her always flourish. This concern is misplaced as quite a number of relatively junior or even voluntary posts are "politically restricted," it implies nothing about seniority. We already know that employers don't carry out due diligence, they'll see somebody who impressed people enough to be handed a lot of power and was (on paper) actively sought after for sensitive committees.
She implies in a recent Facebook post that, in going forward with job applications, she has high hopes of being appointed to a ‘politically restricted’ position; and gives this as one of the reasons why she chose not to stand again. Personally, I don’t think she’s likely to be appointed to a role so senior and with such responsibilities that it would be ‘politically restricted’