Issue attaching logo to button

I am trying to attach a specific logo (Spotlight) to my website - it's for a site I am a member of . The only link they provide is direct  to my page on their site  and should include the logo as well. However, Squarespace will only accept the section of the link (below) provided which is for my page on the site only. 

https://www.spotlight.com/0610-9055-7168

How can I add a logo? 

this is the whole link -

<a class="pill-link-vo7wVkJSVf" href="https://www.spotlight.com/0610-9055-7168" tabIndex="0">
        <style>
        @import url(https://fonts.googleapis.com/css?family=Source+Sans+Pro:400,400i,600,700,700i);

        .pill-link-vo7wVkJSVf {
          text-decoration: none;
        }

        .pill-vo7wVkJSVf {
          background-color: #fff;
    -webkit-box-shadow: 0 1px 3px 0 rgba(0,0,0,.3);
    box-shadow: 0 1px 3px 0 rgba(0,0,0,.3);
          max-width: 100%;
          padding: 4px 6px;
          border-radius: 17.5px;
          display: -ms-inline-flexbox;
          display: inline-flex;
          -ms-flex-align: center;
          align-items: center;
          font-family: Source Sans Pro, sans-serif;
        }

        .pill__icon-img-vo7wVkJSVf {
          height: 20px;
        }

        .pill__children-container-vo7wVkJSVf {
          font-size: 10px;
          color: #4e4d92;
          padding-bottom: 1px;
          margin: 0 4px;
          overflow: hidden;
          -o-text-overflow: ellipsis;
          text-overflow: ellipsis;
          white-space: nowrap;
          font-weight: 600;
        }
      </style>
        <span class="pill-vo7wVkJSVf">
          <span class="pill__icon-container-vo7wVkJSVf">
            <img
              class="pill__icon-img-vo7wVkJSVf"
              src="https://staticassets.spotlight.com/spotlight-logo-colored.svg"
              alt="icon"
            >
          </span>
          <span class="pill__children-container-vo7wVkJSVf">
            Spotlight performer
          </span>
        </span>
      </a>

Thank you

What is your site url?

www.jennifervallance.com

You mean replace this generic link icon with Spotlight icon?