It shouldn't, Rhea. There are some interesting studies out of Manitoba showing that the reproductive season of their red-sided garters can actually be extended following cold weather fluctuations. The cold weather sort of acts to re-synchronize male and female reproductive behavior. Lab work confirmed their findings. Basically, individual males showed interest for about three weeks after starting courtship activity. (Remember that not all males emerge or begin courtship at the same time, so there's a bit of variation). After males and unmated females lost interest in the lab, they were exposed to a mini-brumation (4C for 36 hours). Upon their second "emergence" the males and females began courting again.

Also remember that the Manitoba red-sided garters have evolved to tolerate (and in fact become stimulated by) to these temperature fluctuations. One wouldn't want to expose a Florida blue, for example, to such dramatic temp changes.

Rick