Ayurveda is indeed a part of Hinduism and the literal translation means "life knowledge". As Wikipedia also suggests, it is a system of Hindu traditional medicine and several old Sanskrit texts are known to exist which are among the foundational and formally compiled works of Ayurveda.
Avurveda offers many Hinduism centric ideologies and terminologies and as long as the questions are harmless i.e we are not suggesting someone away from medical care, we should consider them on-topic on this site.
It should be acceptable as long as people are not trying to solve problems which clearly may involve medical attention. In this case, we should deem it as off-topic or too serious and recommend seeing a professional practitioner.
To be very clear, as long as we are talking about stuff like stomach aches and any help which Ayurveda can provide along with Modern medicine, we should deem it on topic. Our goal is not to substantiate and fight between the two and provide alternative forms of medicine which can be deemed dangerous in any form.
Also, questions regarding Ayurvedic terminology should also be considered on-topic and any questions about the history of Ayurveda as well.