"Antinuclear antibodies (ANA) are a group of antibodies produced by a person's immune system when it fails to adequately distinguish between "self" and "nonself." These antibodies, known as autoantibodies, attack the body's own healthy cells and cause signs and symptoms such as tissue and organ inflammation, joint and muscle pain, and fatigue. ANA specifically target substances found in the nucleus of a cell, hence the name "antinuclear." The ANA test identifies the presence of these autoantibodies in the blood."
/labtestsonline.org/understanding/analytes/ana/tab/sample/ Many Lyme patients have positive ANA tests, but that doesn't mean they have Lupus or any specific autoimmune issues, sometimes it's just Lyme doing this.
A really good LLMD that understands the possible autoimmune "potential" that Lyme has may be where you would need to go to get help. Hopefully, the Rheumy that you are going to go see will be more likely to follow ILADS protocols. Something I'd be sure to ask.