OTOH, if there is no other feasible place to land, you may have to do it anyhow. While I do not advocate intentionally flying into a known area of freezing rain, it might be necessary at some point if your career. Also, inherently, landing/go-around performance is significantly better than takeoff performance because you land a a lower weight. You NEVER "have to" take off, but once you do, you eventually HAVE TO land...
FWIW, freezing fog is NOT the same as freezing rain/drizzle. However, it is usually very dense and can seemingly appear 'out of nowhere'. Expect Cat II/III visibility when it happens.