Skip to the end for the answer to this question; I've done this before several times.
Many third-party PDF applications are based on the older, now-deprecated Adobe PDF API from prior to Acorbat Pro DC. Adobe, some years back, moved from a sort-of-open API to a closed API they could better control. Many third-party PDF authoring applications you will find today are nonetheless still using that older API and may have compatibility problems- perhaps not relevant to your use case, but they still exist and could affect you in some way you can't know about and can't foresee. Speaking as a programmer myself: avoid ALL third-party PDF authoring applications. You'll be depending on old, deprecated, and now-unsupported code. That's never a good thing.
Apart from this, a great many of these you'll find online, even from "official" sources, can contain malware because PDFs are popular and ubiquitous and malware writers don't care about you. This is notto say you have a pirated application! What I mean is that the libraries the programmers of the application used to enable authoring capability are themselves compromised, where the programmer of the application believes they are safe. You can't know, so don't use them, ever.
Finally, the terms of some online-only third-party PDF authoring tools have terms buried in their licenses which can be interpreted to grant the site free use of your creative work. By uploading it to a site for conversion you agree to their terms, and these have been seen in the past to stipulate that they retain the right to use your upload for any business purpose they see fit. When caught doing this, their terms of course are changed. This is BAD.
Never ever upload anything for conversion to a .pdf which you either want to make money from later or which you don't want someone else to make money from.
The Word license DOES NOT do this. You have been warned and given notice.
Adobe Creative Cloud has a student license that is very reasonably priced (it's a steal, to be honest, and worth far, far more than its monthly cost!). It allows two installs on two different machines, irrespective of their actual owners. If you have a student in your family you may want to look into it, not only for Acrobat but also for the suite of tools including Photoshop, Illustrator, and InDesign. Illustrator and Indesign in particular can work very well with Finale to make up for Finale's (myriad and numerous!) page layout deficiencies; I;ve used both this very day in conjunction with a score someone else is working to produce a cover and create better titles and footers than Finale is capable of producing.
THE ANSWER TO THIS QUESTION
The best, safest, and most stably-compatible option is to export the pages in a Finale score to images of at least 300dpi (for purposes of print clarity). Import them into Word, page for page, filling each with the image, and then use the "export to .pdf" option in Word to produce the .pdf. Microsoft has licensed the Adobe API for that specific use- creating .pdf files from Word documents- and you can be confident that your result will conform to all official Adobe libraries and standards for compatibility.