After updating plugin website down

Can you please provide more information?
What is the error that you receive?
Have you enabled debug in WordPress?
You can enable debugging in WordPress by going to wp-config.php and using this code:

// Enable WP_DEBUG mode
define('WP_DEBUG', true);

// Enable Debug logging to the /wp-content/debug.log file
define('WP_DEBUG_LOG', true);

// Disable display of errors and warnings
define('WP_DEBUG_DISPLAY', false);
@ini_set('display_errors',0);

// Use dev versions of core JS and CSS files (only needed if you are modifying these core files)
define('SCRIPT_DEBUG', true);

Also don’t forget to remove any instance where WP_DEBUG is false.

Many times the error is because of low memory assigned to WordPress. Be sure to have at least 128mb of memory dedicated to WordPress.
You can set this via wp-config.php by this code:
define('WP_MEMORY_LIMIT', '128M');

I visited your site and it is working. From what I can see, you are using WPML 3.2.2. Have you tested to first upgrade WPML to its latest version?

@roganoff than you for reporting this issue.
Can you please provide more information? Which versions of WPML you are using? Are you using WPML 3.2.7?

Oh I see the issue now. It seems like a typo for the function.
It should read url_string_name in /wp-content/plugins/woocommerce-multilingual/inc/wc-strings.class.php on line 202

I have talked with our developers and a fix is on the way.

Our developers just released an updated version 3.7.1 that includes this fix.
Thank you for reporting the issue.