The new variant has mutations to the spike protein that the three leading vaccines are targeting. But those vaccines induce antibody production against many epitopes (regions in the spike protein), so it’s unlikely that a single change would make the vaccine less effective.
Over time, as more mutations occur, the vaccine will be easy to be altered. The same happens with seasonal flu, which mutates every year, and the vaccine is adjusted accordingly. The SARS-CoV-2 virus doesn’t mutate as quickly as the flu virus, and the vaccines that have so far proved effective in trials are types that can easily be tweaked if necessary.
Summing-up: with this variant, there is no evidence that it will evade the vaccination or a human immune response.
Dr. Fauci on Vaccines, Virus Mutations, and 2021: " Like all RNA viruses, this coronavirus has been mutating, and a new variant that has shown up in the United Kingdom may be more contagious. However, there is no evidence that it is more virulent or that current vaccines will not be effective against it"
I strongly encourage you to listen at: www.medscape.com/viewarticle/943131