Previously you have blocked downloads of Java. Is it ok to download Java updates now?

I keep receiving emails from Java for updated downloads and don't know if safe because of a previous email from you stating problems with Java and blocking any further downloads. I just don't know if the block is off and is safe to download Java updates now. As you can tell, not very computer literate. Please let me know what I should do. I currently have a new update waiting for download. Actually, I guess I just downloaded it. Just notifed me. Is ok? Alice Burton