Horizontal ListView inside a Vertical ScrollView in Flutter

Well, Your Code Work Fine with wrapping your- ListView.builder with Expanded Widget &
setting mainAxisSize: MainAxisSize.min, of Column Widget.

E.x Code of what you Have.

 body: Column(
        mainAxisSize: MainAxisSize.min,
        children: <Widget>[
          Text(
            'Headline',
            style: TextStyle(fontSize: 18),
          ),
          Expanded(
            child: ListView.builder(
              shrinkWrap: true,
              scrollDirection: Axis.horizontal,
              itemCount: 15,
              itemBuilder: (BuildContext context, int index) => Card(
                    child: Center(child: Text('Dummy Card Text')),
                  ),
            ),
          ),
          Text(
            'Demo Headline 2',
            style: TextStyle(fontSize: 18),
          ),
          Expanded(
            child: ListView.builder(
              shrinkWrap: true,
              itemBuilder: (ctx,int){
                return Card(
                  child: ListTile(
                      title: Text('Motivation $int'),
                      subtitle: Text('this is a description of the motivation')),
                );
              },
            ),
          ),
        ],
      ),

Update:

Whole page Is Scroll-able with – SingleChildScrollView.

body: SingleChildScrollView(
  child: Column(
    mainAxisSize: MainAxisSize.min,
    children: <Widget>[
      Text(
        'Headline',
        style: TextStyle(fontSize: 18),
      ),
      SizedBox(
        height: 200.0,
        child: ListView.builder(
          physics: ClampingScrollPhysics(),
          shrinkWrap: true,
          scrollDirection: Axis.horizontal,
          itemCount: 15,
          itemBuilder: (BuildContext context, int index) => Card(
                child: Center(child: Text('Dummy Card Text')),
              ),
        ),
      ),
      Text(
        'Demo Headline 2',
        style: TextStyle(fontSize: 18),
      ),
      Card(
        child: ListTile(title: Text('Motivation $int'), subtitle: Text('this is a description of the motivation')),
      ),
      Card(
        child: ListTile(title: Text('Motivation $int'), subtitle: Text('this is a description of the motivation')),
      ),
      Card(
        child: ListTile(title: Text('Motivation $int'), subtitle: Text('this is a description of the motivation')),
      ),
      Card(
        child: ListTile(title: Text('Motivation $int'), subtitle: Text('this is a description of the motivation')),
      ),
      Card(
        child: ListTile(title: Text('Motivation $int'), subtitle: Text('this is a description of the motivation')),
      ),
    ],
  ),
),