So say some Harvard researchers (let's hope they're right!):
“What we’re seeing is that these variants don’t seem to affect T-cell immunity all that much and they [the T-cells] seem to be as effective in recognizing these variants as they do the original virus,” [Harvared medicine professor] Alter said. “What that means is that we actually have very important backup mechanisms built into our vaccines that will continue to provide protection against these newly emerging variants.”