If your website has been developed using WordPress, it is the most popular and stable web publishing platform on the internet (by a large margin).
All websites are targets for hackers and spammers these days. WordPress knows and understands this and dynamically works to minimise the risk to users of their platform.
To protect your website, WordPress and its third party developer network, regularly create updated versions of their software to ensure that you are as secure as is humanly possible (notwithstanding brute force hacks of your login).
The Bad News
The Good News