The best way to do this might be with css and a backround-image style for the logo. Something like this could be added to your template stylesheet:

.partner_logo{}

.partner_logo::after {
    background: url('../../../images/logo.png') no-repeat center;
    margin-left: 0.5em;
    content: "";
    display: inline-block;
    height: 30px;
    width: 100px;
}

Then when you create the link, select the "partner_logo" class from the Classes list in the Advanced tab. The image will still wrap if the screen size is smaller than the text + logo.

I've found an easier way to do this using Columns.

In the editor create 2 Columns using the following settings:

Columns: 2
Stack Width : Small
Gap Size : None
Layout : 2-1

Then, type in the text in the left column, and insert the logo in the right, eg: