Latest versions of Sendmail (most prevalent smtp server) and SpamAssassin check blacklists extensively, so you can expect your emails to be blocked. You may get a bounce or they may simply drop the email.

Unless you can get the IP removed from the blacklist, you need to send your email via a different provider or server. First ask your own provider for an email server whose IP isn't on a blacklist. If they can't or won't give you one, you need another provider. Note that many providers limit the number of emails you can send to ensure that they too don't get abused by spammers and added to a blacklist, so check that carefully before spending $.