The resonant interaction between quasi-one dimensional excitons and photons is investigated. For a single isolated organic quantum wire, embedded in its single crystal monomer matrix, the strong exciton-photon coupling regime is reached. This is evidenced by the suppression of the resonant excitonic absorption arising when the system eigenstate is a polariton. These observations demonstrate that the resonant excitonic absorption in a semiconductor can be understood in terms of a balance between the exciton coherence time and the Rabi period between exciton-like and photon-like states of the polariton.In the 50's Hopfield showed that semiclassical theory is inappropriate to describe photon absorption by a semiconductor [1]. Indeed, an exciton has a defined wave-vector and is then only coupled to a single photon state, the one having the same momentum. The resulting system eigenstate during photoexcitation is a mixed exciton-photon state, a polariton, which does not lead to photon absorption if additional couplings are not taken into account [1].On the other hand, an exciton in a quantum well or wire is coupled to a photon continuum in the emission process. Therefore, the emission probability follows the Fermi Golden rule (FGR), whereas this is not a priori so for the absorption. In fact, as recently shown [2], two regimes can be reached by photoexcitation depending on the number of incident photons: a linear regime where photons are absorbed and a non linear one where absorption does not occur, the semiconductor becoming transparent. In the former, the exciton coherence time (generally governed by interaction with phonons) is much shorter than the exciton-photon interaction time [2], and photons are continuously absorbed following the FGR. In the latter, the system eigenstate is a slightly damped polariton, the exciton-photon interaction time