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In this article, we establish a truncated non-integrated defect relation formeromorphic mappings from an $m$-dimensional complete K\"{a}hler manifold into$\mathbb P^n(\mathbb C)$ intersecting $q$ hypersurfaces $Q_1,...,Q_q$ in$k$-subgeneral position of degree $d_i$, i.e., the intersection of any $k+1$hypersurfaces is emptyset. We will prove that $$\sum_{i=1}^q\delta_f^{[u-1]}(Q_i)\le (k-n+1)(n+1)+\epsilon+\frac{\rhou(u-1)}{d}, $$ where $u$ is explicitly estimated and $d$ is the least commonmultiple of $d_i'$s. Our result generalizes and improves previous results. Inthe last part of this paper we will apply this result to study the distributionof the Gauss map of minimal surfaces.

Non-integrated defect relation for meromorphic maps from a K\"{a}hler manifold intersecting hypersurfaces in subgeneral of $\mathbb P^n(\mathbb C)$