Delivering email from your own little server is theoretically possible, but extremely difficult to do in practice. I wrote about this at length here: https://www.attejuvonen.fi/dont-send-email-from-your-own-ser...
You can test by sending email to a bunch of different mailboxes on different email providers, and then seeing which emails land. I've previously used GlockApps for this test and I've been happy with it, but you can probably find other similar services too. I'd be interested to know the results if you decide to test your deliverability.