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How to change the header background color of a QTableView
template<typename T>
inline QVariant TableModel<T>::headerData(int section, Qt::Orientation orientation, int role) const
{
    //...
    else if(role == Qt::BackgroundRole) {
        return QBrush(m_display.headerBackground);
    }
    //...
}

ui->tableView->setStyleSheet("QHeaderView::section { background-color:red }");

MyTableView::MyTableView( QWidget* parent ) : QTableView( parent )
{
    ...
    // Make a copy of the current header palette.
    QPalette palette = horizontalHeader()->palette();

    // Set the normal/active, background color
    // QPalette::Background is obsolete, use QPalette::Window
    palette.setColor( QPalette::Normal, QPalette::Window, Qt::red );

    // Set the palette on the header.
    horizontalHeader()->setPalette( palette );
}