Well, if the CDC is correct, those other ways of getting it must be extremely rare.
Second meeting of the International Health Regulations (2005) (IHR) Emergency Committee regarding the multi-country outbreak of monkeypox (who.int)
2.a. Implementing coordinated response
2.a.i. Implement response actions with the goal of stopping human-to-human transmission of monkeypox virus, with a priority focus on communities at high risk of exposure, which may differ according to context and include gay, bisexual and other men who have sex with men (MSM).
Meeting of the International Health Regulations (2005) Emergency Committee regarding the multi-country monkeypox outbreak (who.int)
Conclusions and advice
The Committee noted that many aspects of the current multi-country outbreak are unusual, such as the occurrence of cases in countries where monkeypox virus circulation had not been previously documented, and the fact that the vast majority of cases is observed among men who have sex with men, of young age, not previously immunized against smallpox (knowing that vaccination against smallpox is effective in protecting against monkeypox as well). Some Members suggested that, given the low level of population immunity against pox virus infection, there is a risk of further, sustained transmission into the wider population that should not be overlooked. The Committee also stressed that monkeypox virus activity has been neglected and not well controlled for years in countries in the WHO African Region.