I'm glad you came here and have already met Sophie_M, who gives very sensible advice.
I guess you have two problems, one being your true feelings for your husband -and your family life. The other being if you have depression.
Now I can only really look at myself, and I've had bouts of depression, together with other problems. They became quite severe and changed my way of thinking. You were talking of love, and I know that I had no idea if I was in love, or with whom.
I was very disconnected from myself, and really had no idea what things were realy like. I most certainly was not in any position to make life-changing decisions, my thinking was too warped.
May I suggest you take one thing at a time? Deal with depression first and then you will be in a much better position to make choices over love and life. After all 10 years and 2 kids is a very substantial thing.
I'm not sure it is a question of disregarding your true feelings or shutting yourself up. If you are like I was depression is insidious and creeps up slowly over a very long time. It took a fair while to find out more about myself and my feelings and to realise the thoughts I'd had before were generated by the illness..
If you think your current psychologist is in error, either about the depression, or about the method of treatment I'd suggest you get a second opinion and see what happens.
Takng medication is a serious business, but can, for some people when the right regimen is established give great benefit. I have taken meds for an awful long time now. At first they were ineffective or had unwelcome side effects, however after trialing a fair number I'm lucky enough to be on a type and dosage that lets me live a happy and productive life -with love - and no discernible side effects.
Trying to deal with all this by yourself is hard, and maybe your husband might not be the right person to talk with all the time - he will most probably be very emotionally involved. Is there anyone else in your family, or a friend, you can talk frankly to and feel support?
I hope to talk with you again