I think that the most widespread misunderstanding about science is the notion that "Science" is a single authoritative body that can swoop in, perform its magic, and definitively deem some complex, controversial statement to be either fact or fiction, true or false.
Using the above definition, "Science" can hypothetically be proven "wrong" which leads some to deny the validity of the entire scientific enterprise.
In practice, however, science can be better thought of as simply as an effort to think methodically & rigorously - which mainly entails guarding against our own cognitive biases. Claims can be proven wrong but science itself can't be proven wrong.
All that can happen is new evidence or conceptualizations come in and refine/update our previous best understanding.