After upgrading the blog to WP 4.3, some users reported me that the plugin stop sending newsletters…
I had no direct experience of that issue, but those users said that sometimes deactivate and re-activate the plugin seems to make it work again.
If someone cannot send anymore after upgrading to WP 4.3 and is not in a hurry, please do nothing and send me a temporary login to blog so I can see the live error and maybe investigate the cause. Thanks.