DataGrid.CellStyle applies to whole row in C# WPF App

The rowstyle works fine, but if for example "Gebucht" is true and Dringend is true too I want to display the whole row in green except for the Cell which has the Dringend boolean.

Then you should set the CellStyle property of the specific column instead of setting the CellStyle property for the entire DataGrid, e.g.:

<DataGrid ... >
    <DataGrid.RowStyle>
        <Style TargetType="DataGridRow">
            <Style.Triggers>
                <DataTrigger Binding="{Binding Path=Gebucht}" Value="True">
                    <Setter Property="Background" Value="Green"/>
                </DataTrigger>
                <DataTrigger Binding="{Binding Path=dringendeBuchung}" Value="True">
                    <Setter Property="Background" Value="Yellow"/>
                </DataTrigger>
            </Style.Triggers>
        </Style>
    </DataGrid.RowStyle>
    <DataGrid.Columns>
        <DataGridTextColumn Binding="{Binding Dringend}" Header="Dringend">
            <DataGridTextColumn.CellStyle>
                <Style TargetType="DataGridCell">
                    <Style.Triggers>
                        <DataTrigger Binding="{Binding Path=Dringend}" Value="True">
                            <Setter Property="Background" Value="Red"/>
                        </DataTrigger>
                    </Style.Triggers>
                </Style>
            </DataGridTextColumn.CellStyle>
        </DataGridTextColumn>
        <!-- + other columns... -->
    </DataGrid.Columns>
</DataGrid>