The HOA can only kick you out (or more accurately, require your uncle to remove you, on threat of him being kicked out for his own violation in not doing so, if he won't take action) if you are in violation of HOA rules. So if the HOA has a rule stating that someone with a criminal background like your cannot be a tenant, for example, then yes, you can be required to leave--but not otherwise; they can't simply unilaterally or arbitrarily decide who does and who does not get to live there, but can only enforce the community rules.