We investigate the possibility of TeV-scale scalars as low energy remnants arising in the nonsupersymmetric $SO\left(10\right)$ grand unification framework where the field content is minimal. We consider a scenario where the $SO\left(10\right)$ gauge symmetry is broken into the gauge symmetry of the Standard Model (SM) through multiple stages of symmetry breaking, and a colored and hypercharged scalar $\chi$ picks a TeV-scale mass in the process. The last stage of the symmetry breaking occurs at the TeV-scale where the left-right symmetry, that is, $SU(2{)}_L\otimes SU(2{)}_R\otimes U(1{)}_{B-L}\otimes SU(3{)}_C$, is broken into that of the SM by a singlet scalar field $S$ of mass $M_S~1$ TeV, which is a component of an $SU(2{)}_R$-triplet scalar field, acquiring a TeV-scale vacuum expectation value. For the LHC phenomenology, we consider a scenario where $S$ is produced via gluon-gluon fusion through loop interactions with $\chi$ and also decays to a pair of SM gauge bosons through $\chi$ in the loop. We find that the parameter space is heavily constrained from the latest LHC data. We use a multivariate analysis to estimate the LHC discovery reach of $S$ into the diphoton channel.