The impact of cutting off direct diplomatic relations with a country means cutting off all direct contacts with the government of particular country.
Diplomats try to help their own country, encourage cooperation between different nations, and maintain peace.
The main function of diplomacy is to ensure peaceful relations between countries. This includes negotiating trade deals, discussing mutual problems, implementing new policies, and tackling disputes.
International relations effects transferable skills in history, politics, analysis, and research. These skills allow you to critically interpret the contemporary world, and analyze the shifting complexities that dynamically occur in politics.
Thus, breaking off a diplomatic relations can cause many problems to a country.