There are a few different ways you could do this. Here’s one way using the flex-row and flex-wrap utility classes to change the layout of elements inside the card…
https://codeply.com/go/l1KAQtjjbA
<div class="card flex-row flex-wrap">
<div class="card-header border-0">
<img src="//placehold.it/200" alt="" />
</div>
<div class="card-block px-2">
<h4 class="card-title">Title</h4>
<p class="card-text">Description</p>
<a href="#" class="btn btn-primary">BUTTON</a>
</div>
<div class="w-100"></div>
<div class="card-footer w-100 text-muted">
FOOTER
</div>
</div>
Here’s another approach using the grid…
<div class="card">
<div class="row no-gutters">
<div class="col-auto">
<img src="//placehold.it/200" class="img-fluid" alt="">
</div>
<div class="col">
<div class="card-block px-2">
<h4 class="card-title">Title</h4>
<p class="card-text">Description</p>
<a href="#" class="btn btn-primary">BUTTON</a>
</div>
</div>
</div>
<div class="card-footer w-100 text-muted">
Footer stating cats are CUTE little animals
</div>
</div>
https://codeply.com/go/l1KAQtjjbA
I’m not sure why you have text-center as nothing it centered in the desired example image.