Why bother? VM's customer service has got materially worse since she joined VM, and her prior role was at npower, who had by Ofgem data the worst and most costly customer service of any major energy supplier.
As with all directors, any incoming customer communication won't get in front of them even via email, and will fielded by a PA likely to the not very effective executive complaints team. If Ms Barrass wanted to hear from customers she'd be mixing it in this forum, taking the findings and making real, fundamental changes to the way VM deliver customer service. So what are you trying to achieve? VM are a company in big boy pants, they have plenty of sources of information on their own performance and know full well what their customer service is like. And the lack of improvement shows they're quite happy with it.
If you're after compensation then you need to use the complaint and CISAS escalation route. If you want better customer service then you need to choose a company with a better reputation.
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Just something to note, there are ways of finding the email address of any company director of any company listed as a British corporation or limited liability company (Ltd). My partner is a journalist and has many resources at her disposal to find just such information. Here is the surprise we got when we had that information about VM directors. Nobody, not even their PA's nor any staff replied. Their ivory towers are so high, not even email reaches them. To even get a request to respond to press enquiries requires much patience and a great deal of snobbery. We did not have that much patience nor snobbery points. My belief is that you would get more response from a Russian Oligarch than VM even if you directly contact them