Except, that wasn't at all what we call a compiler; she just used the name compiler for something that clearly was not. Admittedly, she was first to use the name, but word coinage is not a thing we recognize as a fundamental achievement. Hal didn't call his thing a "compiler", but it clearly was one, by the modern definition.

(Its output was subroutine calls, but that is a matter for optimization. When your compiler has to fit in 1K machine words, you make compromises.)