When you are making a case to British colleagues or counterparts, the single most important thing is that your argument is supported by evidence. Assertions without evidence are not just unconvincing—they are actively suspect. The British assume that if you had evidence, you would present it, and if you are not presenting evidence, it is because you do not have any. Ground your case in data, examples, track record, or practical experience.
Theoretical arguments and appeals to authority are weaker than arguments from observed results. Prepare to answer the question “what’s your evidence for that?” because it will come, either explicitly or as the silent filter through which your audience evaluates everything you say. The depth of your preparation will be visible, and it will matter more than the polish of your delivery.