The COVID-19 pandemic prompted a large-scale move to remote delivery of healthcare services. However, little research has directly explored telehealth experiences of autistic adults, a population strongly affected by health inequalities and care access barriers. This study sought telehealth experiences of 11 autistic adults (aged 27-67 years), seven family members/carers (aged 44-75) reporting about autistic people and six service providers. In-depth qualitative interviews were conducted with all participants, which were then thematically analysed. Two overarching themes identified were technology aids communication and access -- except when it doesn't, and in/flexibility, with a number of sub-themes. The themes, on one hand, highlighted positives of telehealth delivery, including easing some aspects of communication and decreased stress and, on the other hand, negatives, such as increased rigidity of the healthcare system, amplifying pre-existing barriers. Considering autistic people experience barriers to accessing healthcare, this study highlights such barriers could be, in some instances, addressed via remote delivery, as well as possible limitations of telehealth for some autistic adults.