It sounds like what she was saying was reasonable, but her manner/consultation skills maybe weren't. I am a GP, I fit and remove implants. Of all the people who come wanting it taken out, I actually remove less than half as so many of the requests are based on misinformation and after a discussion of the facts, rather than the urban myths, the patient often changes their mind.
She was doing her job to make sure you had the facts to hand, even if it sounded patronising. I'd agree this is better done face to face. It is expensive and some side effects are more common in the early months, I'm not sure when you had it put in but I really try to discourage removal before 3 months as things often settle down.
Also were not removing implants in August as we're busy as school holidays!
Perfectly reasonable - if they are very short staffed then urgent things have to be prioritised and this can wait.
I said I want to try for children in a year or two Time and worried about no periods etc.
She will have been trying to reassure you that your periods stopping on the implant has nothing to do with future fertility. Over 95% of people ovulate within a month of their implant coming out. It is a very common misconception that you have to have a few months of normal periods after the implant in order to get pregnant, or that having no periods is "unnatural" and will affect your future fertility, which it won't. If you need contraception for 1-2 years then keeping the implant would be sensible. The only contraceptive method with a hangover period to get full fertility back is the depot injection.
Feel like I've put on weight, I've not had any periods which I don't like.
as above - you should have been told when it was fitted that periods stopping was a likely side-effect. have you actually put on weight and can you, hand on heart, say it's not to do with food or exercise?
If you really want it out then by all means go to the FP clinic, but it's a very reliable method and if you don't want a baby for a year or two, and you are one of the lucky ones whose periods stop (rather than being annoyingly irregular) then don't get it taken out just to spite the doctor! good luck with your deliberations.