In addition to existing advice.
Just STOP! You are ill. You have a cold. Ease off - maybe just gentle yoga, steady walking until all symptoms have gone. You shouldn't be exercising when sick, it'll prolong the illness and risk making it worse or it developing into something more serious.
Also, your body doesn't differentiate between exercise and mental/ life stress. If you have been overloading too long, it'll smash your immune system and you'll get sick (cold) and / or other injuries.
When you do a decent volume of exercise, it is critical to take a holistic approach to lifestyle AND exercise. It's all part of the same big picture. Nutrition and supplements have already been covered. But, rest and sleep have equal importance. Do you have total rest days from exercise? If not. You should. Do you have an easier week every few weeks? If not, you should. Do you have good sleep hygiene? Quality sleep? Enough? Regular bed and ride time?
Has work/ family life been particularly busy/ stressful/ challenging of late? If so, something needs to give. Work and family can't! So ease up on the exercise.
If you are going to hard (exercise, work, life, family) without the appropriate rest, I'm afraid you'll ultimately push yourself into an overtrained state. It's fine if you catch it and back off. If you don't, you risk it moving yourself into a state of over training that will be hard to get out of. It impacts everything, it's awful.
If you don't already - really recommend a decent sports watch that measures sleep, heart rate, heart rate variability and enables you to track exercise too. I use à Garmin - it all goes onto the app (connect). I find the data produced is super helpful. I've been doing this a very long time, so I'm familiar with my bodies signs and how it feels - when it's telling me to back off. But I also find the data helpful. I can always see in my resting heart rate and heart rate volume several days before I have cold symptoms.
I too am perimenopausal. Also managing symptoms well with diet and exercise. However I've noticed a new trend - a week or so before my period is due I suffer with feeling exhausted, wiped out and burnt out. I know it isn't caused by any other factors (work, family, training etc). Such a distinct pattern has formed. Clearly down to another perimenopausal delight. I would also suggest cycle tracking if not already, keep a diary. Again, the Garmin connect app gives you the option. It bamboozled me to begin with, then I noticed the pattern.