Weight training is very beneficial to the body, but it is not necessary to follow EM2WL. Many women love the results they get with lifting weights as it really shapes the body. The biggest problem occurs when people overdo it with cardio and have these huge calorie burns and then do not eat enough calories to support their activity. If you choose to stick with mostly cardio, be careful that you choose the right activity level when calculating your TDEE and eat accordingly. The body can see too much cardio as stress, so make sure you are giving your body rest days to recover.

Even if you don't want to do weight training, you could start off doing a body weight training. I like the Nerdfitness one: http://www.nerdfitness.com/blog/2009/12/09/beginner-body-weight-workout-burn-fat-build-muscle/

Ditto's to some resistance training, especially the muscles you don't use in the cardio. Program above is good.

Suggestion on the cardio.

How frequent is it weekly, with intense sessions?

Because if infrequent, like just 3 hrs, that could have you selecting an activity level that while indeed correct for the weekly average, could have you very unbalanced day to day.

Meaning the average TDEE deficit method of course has you with more deficit on workout days and less on rest days.

But the potentially bigger calorie burn because of intensity and/or time could mean the workout days are very big deficits - to the detriment of the workout, which really needs recovery with carbs right afterwards, if you intend to do it again.

If that is the potential case, I'd suggest take 100 off eating goal on rest days, when your literal TDEE is lower anyway, and add it to the big workout day, when the TDEE really is higher. Probably by more than a mere 100.

So if indeed 3 days of 3 hrs workout eat 100 higher than goal, then 3 rest days eat 100 lower than goal. That leaves 1 day eating at goal.

And make 100-200 cal snack right after the intense workout be carb to protein ratio 4:1, that's for best uptake of the carbs in to the muscles for replenish. That helps recovery.

Now, if hitting 4-5 hrs a week of even time like 1 hr each day, then the above doesn't apply. I would round up the Moderate Active figure though before taking 15% deficit.

If the rides get longer in the good weather, then I'd suggest a modified version of this. Just to keep this in mind.
Only count 1 hr daily of any planned workout for the TDEE estimate and the deficit.

On days you actually do more than 1 hr, calculate calories for what was burned above the 1 hr, and eat those back on that day with same 15% deficit.

Because for endurance cardio, you really need the extra cals the day you burned them, or within 24 hrs anyway.

Sounds like a good plan!