The Roman influence is limited mostly to place names. Otherwise Latin had basically disappeared from the island.
Latin influences English as a learned tongue, used by clerics and academics. Other than that most of it comes via French, when the Normans brought it.
> The Roman influence is limited mostly to place names. Otherwise Latin had basically disappeared from the island.
Recent research, namely an article by Lars Nooij & Peter Schrijver [0], suggests that a population speaking Latin/Romance may have remained present in Britain until the late first millennium. Granted, the effect of this local Latin would have been on Welsh more than English.
[0] https://doi.org/10.1515/9783110776492-004