Your constraint is going the wrong direction to be convex.
The quadratic forms are convex if the matrix is hermitian positive semidefinite.
{convex} <= affine is a convex constraint.
affine <= {convex} is not a convex constraint.
Maybe you should read the first several chapters of https://web.stanford.edu/~boyd/cvxbook/bv_cvxbook.pdf to learn the basics of convex optimization.