Now this is a fun question.
The word seraph (plural seraphim) is used in four locations in the Bible. The most well known is in Isiah 6, where the word is simply transliterated into English and refers to celestial beings of some kind. Aside from describing them as having hands, feet, a face, and six wings very little information is given on them.
Things get more interesting when you look at the other three references, which describe venomous snakes sent in judgement (in Numbers) and flying/winged snakes (a poetic description of a cobra's hood, probably) two other locations in the book of Isaiah. The connection to serpents is interesting, but things get more interesting when we examine extra-Biblical writings, the book of Enoch in particular. It's written in Greek and describes seraphim as δράκων, or dragons (serpents).
There's a pretty strong case that seraphim were intended to be celestial dragons originally, but that description has changed over the years. Especially among Christian iconography due to the association between dragons and the devil (as per Revelation).
So is Kayle a seraph? If we're going by the modern interpretation, yes. Six winged celestial being associated with fire. If we're going by the (likely) original intent? No, she is not a snek.