The realtipn between Nepal and South Korean is fine
In the Year 2015 April when Nepal was hit by the Earth Quake South Korea provided nepal with $1millon dollars which was good due to the Earth Quake causing major damage.Diplomatic relations between Nepal and the Republic of Korea (RoK) was established on 15 May 1974. The Republic of Korea opened its Embassy in Kathmandu in 1974. Nepal established its Embassy in Seoul in 2007. The relations between the two countries are based on goodwill, friendship and mutual cooperation. Frequent exchanges of visits at various levels have further strengthened these relations. Two countries celebrated the 40th anniversary of the establishment of diplomatic relations in 2014. Nepal has appointed its Honorary Consul in Busan city.
In short both of the country have a stong relation with each other
Hope that helps!