Yes - you are correct. I am assuming that, since there was only one victim, you were classified under the Tier 1 category? If so, since LA is one of the few states that has the same requirements as the federal law (the Adam Walsh Child Protection and Safety Act), you can indeed petition for removal after 10 years.
FYI - as a former prosecutor who used to review such petitions, I warmly recommend that you retain an attorney to advocate for you in this endeavor. In fact, you may well be able to find an attorney or organization that will do it for free. The prosecutor will have the right to oppose your petition, and courts are often not sympathetic to petitioners in these cases. Indeed, they can be quite unfair and will even deny a petition simply based on some procedural error. You would then have to appeal the decision, which is a long, onerous process. In sum - don't go it alone here!
I hope I've answered your question (although it seems that you already had fairly accurate knowledge of the subject). If I've been of any help at all, please rate my answer, since that is the only way I can receive credit.
Meanwhile, good luck to you in this effort!