Unfortunate but true - your being of South Asian origin is likely to dial down the vaunted friendliness of Taipei's residents noticeably (unless you are a very pale-skinned northerner).
As far as safety goes, your main problems are likely to be in crossing the road (IME, Taiwanese drive like mainlanders, but more arrogantly) and from pickpockets in crowded areas.
Oh, and I don't know if this is still the case, but it used to be that young, single females were advised always to have someone very obviously note down or photograph the licence plate of any taxi they entered. More than one of my foreign colleagues found herself sexually assaulted and dropped off far from where she wanted to be after ignoring this advice - but that was a bit earlier this century. Please take current local advice.