YOU SHOULD NOT BE USING THE MAIL() FUNCTION
It is very hard to comply with email format RFCs manually using mail(). Instead, update your code to use PHPMailer or a similar library.
Your additional headers variable is incorrect - you must have a Content-type
and MIME-Version
header:
//proceed with PHP email.
$headers = "From: $user_Email\n" .
"Reply-To: $user_Email\n" .
"MIME-Version: 1.0\n" .
"Content-Type: text/html\n" .
"X-Mailer: PHP/" . phpversion();
$sentMail = @mail($to_Email, $subject, $user_Message .' -'.$user_Name, $headers);