Hi joanna,
I think I have similar issues with intimacy... I am learning as well, so not very experienced with being intimate. I am 5 inch depth max, which should be enough for most as it never goes into it fully. I do get a little tense when a guy insists upon going very deep, but most woman have the same issue. 4-5 inch is normal for woman, beyond that the uterus is located, making sex just as painful. So we have a valid concern about going too deep, and I simply refuse, like many woman do (I think?) My main issues can be girth, not wet enough... and copious amount of lube which makes is very unsatisfying at times...
Reaching orgasms isn't possible for me on penetration alone, so the only enjoyment I seem to get is some psychological enjoyment/fantasy of being penetrated, which is fine to me, but I really would be able to reach an orgasm when with a guy... maybe in time. I can do it by myself, rubbing against pillows, but it takes time and concentration. While being with a guy I am thinking too much about hurting myself, worrying I might tear something, which really is annoying...
So I am not sure... I think your depth should not be a problem. Many woman struggle with big guys. The average is about 4.5 - 5 inch depth and the same for length. Having an average guys is much more satisfactory, as you can do anything without worry... bigger isn't better, sadly...