Hello and welcome to HCM
Firstly, the size of the fibroid
(4x3 cm) is medium. A medium sized fibroid will not cause deleterius effect on the fertility.
However, if obstructing the cornual end, there may be a blockage of the fallopian tube
Since, your fallopian tubes are patent, there is no obstruction at that level.
profile cosisting of FSH, LH and estrogens can be done to know whether the hormones levels are normal or not.
Removal of fibroid is not required if it is asymptomatic. Indications for removal of the fibroid are irregular menstrual cycles, dysmenorrhoea, a fibroid definitely blocking the tube, red degeration of the fibroid, etc.
IUI can be tried when conception is not possible by any other method. You need to consult an infertility
specialist for that.
Thanks and take care
Dr Shailja P Wahal