  We study almost minimizers for the thin obstacle problem with variable
H\"older continuous coefficients and zero thin obstacle and establish their
$C^{1,\beta}$ regularity on the either side of the thin space. Under an
additional assumption of quasisymmetry, we establish the optimal growth of
almost minimizers as well as the regularity of the regular set and a structural
theorem on the singular set. The proofs are based on the generalization of
Weiss- and Almgren-type monotonicity formulas for almost minimizers established
earlier in the case of constant coefficients.
