Now if you were really thinking you would realize there is also a recoil of the atom as it emits the photon. As the atom is charged it must therefore produced a thermal emission and it does and has a name of recoil temperature or sometimes photon recoil heating
the word recoil suggest that the atom would be moved in
a direction by a recoil due to photon emission.
since a photon emission is more of a expanding hollow sphere
and without using the word orbit then the terminology should
be changed to implosion temperature or implosion heating.
the recoil sounds more like a photon being emitted in a
direction causing the atom to recoil in the opposite
direction of photon emission.
and since a photon is emitted in all directions then
the atom should not feel any direction change due to photon emission.