The bridge will usually affect the varnish to some extent, but it is hard to evaluate the damage to the varnish just from this picture. A violin maker should be able to determine if the damage to the varnish is more than it is "supposed" to be. If so he will be able to retouch it. Simply ask your violin maker about it the next time you give the instrument a checkup. Do not try to fix the varnish yourself unless you are really confident.