That's a common fallacy usually committed by those who lack social scientific background..
According to Encyclopaedia Britannica, definition of Paedophile is:
"Pedophile: also spelled PAEDOPHILIA, psychosexual disorder in which an adult's arousal and sexual gratification occur primarily through sexual contact with prepubescent children. The typical paedophile is unable to find satisfaction in an adult sexual relationship and may have low self-esteem, seeing sexual activity with a child as less threatening than that with an adult."
Indeed, his first wife Khadiga was twice widowed before and was older than him by 15 years. All his wives except Aisha were widows. Therefore, it is evident that Prophet Muhammad's marriage with Aisha was an exception and Prophet did indeed find adult relationship. Prophet also did not have low self-esteem, as it is evident from his his biography.
Harold I. Kaplan et al. (Synopsis of Psychiatry, 5th ed. [Williams and Wilkens, 1988], p. 360) writes:
"In addition to their paedophilia, a significant number of paedophiles are concomitantly or have previously been involved in exhibitionism, voyeurism, or rape". (Voyeurism is the recurrent preoccupation with fantasised or acts that involve seeking out or observing people who are naked, or are engaged in grooming or in sexual activity).
It is commonly accepted by Muslims and non-muslims (un-biased) that Prophet in no sense indulged in "exhibitionism, voyeurism, or rape" or even came close to it. There is not a single reference to indicate that prophet was involved in any such act. In addition, Prophet waited for Aisha to mature and reach Puberty before the marriage was consummated, this obviously is contrary to the characteristics of a paedophile.
