From their website:

Why build a new browser in C++ when safer and more modern languages are available?

Ladybird started as a component of the SerenityOS hobby project, which only allows C++. The choice of language was not so much a technical decision, but more one of personal convenience. Andreas was most comfortable with C++ when creating SerenityOS, and now we have almost half a million lines of modern C++ to maintain.
However, now that Ladybird has forked and become its own independent project, all constraints previously imposed by SerenityOS are no longer in effect. We are actively evaluating a number of alternatives and will be adding a mature successor language to the project in the near future. This process is already quite far along, and prototypes exist in multiple languages.