Bonjour
Does m' acts as a reflexive pronoun ?
YES. it does !!
Step-by-step explanation
me, m' = me, myself
te, t' = you, yourself (informal you)
se, s' = him(self), her(self), it(self)
nous = us, ourselves
vous = you, yourselves (formal you & plural you)
se, s' = them(selves)
when the following word begins with a vowel, for a nicer sound, there is an elision with me, te, se = m', t', s'
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Hope this helps ☺☺☺