How do I put a button on a the header

What is the problem?

What is preventing you from putting a button in the header?

<header>
    ....
    <button>My Button</button>
   ...
</header>

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Its a wordpress site and I am not really sure, where to put the code

If you are not sure where to add button, you can append a button on runtime using jQuery.
What is purpose?

In wordpress it might be in index-main.php or index.php. You can go through each files in themes > editor in dashboard. On right extreme end all editable php files will be listed.

You can corelate the content with classname/idnames in html source of current site. You will get some clue regarding that.

What must the button do?

It will redirect to the below contact form.

It will work same as the "Enter the Competition" button which is there on the site

$(function() {
   $(".header_mid_inner").append("<a href="http://mylittlewhitelies.com/#contact" class="cmsms_button"><span>Contact Us</span></a>");
});

where should I put this code? I mean, in which file?

Thanks.