Data leak

You might want to consider changing your password and making sure it is a strong one. You can also add 2 Factor Authentication to your account for more security. If the attempts continue, you might want to consider a name change.

Link to contact Apple Support in the article.

Apple ID has been compromised.      

Security and your Apple ID.     

Checklist: If you want to see if anyone else has access to your device or accounts 

 Apple ID Password Change.     

Note the restrictions in the article.

Apple ID Name Change.        

 What to do after you change your Apple ID or password - Apple Support    I suggest doing this before you change your Apple ID or password.

Apple ID -Two-factor authentication          

Two Factor Authentification availability.    

2 Factor Authentication - How to generate a recovery key

Apple ID - Using app-specific passwords.     

Apple ID - Two Step Verifications FAQ    

vallerie224 wrote:

Will deleting my password in settings under security recommendations stop my account from being compromised

No.

You would need to delete the entire account associated with that saved password for that approach to work.

As stated above, the password you have used was somehow exposed, and you will want to change the password.

Or delete the entire account from whatever service is involved, which means you can then delete the local copy of the password used to access that account.

If this saved password is the password to your Apple ID, change your password. Now.