Is it possible to be lesbian and to be dating a man?

Hey all, this is a very sensitive topic between me and my girlfriend and a sensitive time and that, Im here for nothing but genuine and nice feedback and I dont mean to offend a single person here in any way.

Without delving too deep into context, me and my girlfriend has had issues recently revolving our relationship, not because anything is bad, but because she feels lesbian.

She has been bisexual and dated 3 women before me and 2 men, both men and women unfortunatly included abusers, but regardless, she tried both more than one time.

Now to the "issue" (I put quotation marks around it since I do NOT want anyone to believe being lesbian is an issue, its fully acceptable and I accept her FULLY if thats what she wants to be, but the issue revolves around that, IF she actually is it)

She has recently stated for the 4th time through our relationship that she has a kind of "need" to be with women, to be lesbian, Ive encouraged her well enough through my pain several times and it never goes beyond the point of sharing the difficult thoughts, then in panic wanting to get back together because she loves me so desperatly.

I am in NO way looking to convert her, Im genuinly so so sorry if it comes across this way, Ive asked her what she wants and she nevers knows, she enjoys everything couple related with me, she engages with sex (she initiates mostly) she touches me, she thinks Im gorgeous, she kisses me, she loves or intimacy. She likes everything you could assume make a relationship kinda.

She can never seem to explain what is is and it makes her feel so bad because she says she genuinly loves me so much it hurts, our future, everything about us, we're getting kinda stumped to what it might mean.

I've honestly tried so much, I thought it maybe had something to do with being comfortable with me, but I even went as far as to stay as close as ever to her as shes looking for a woman (even though how unfair that is to me, I just love her so much) but she feels wrong when trying to search for someone else because her body literally tells her that Im her soulmate etc.

I have so much more to go into but its gotten so many layers so Ill need to give it out on demand kinda, but we're looking for any equal situations and how you guys handled it.

I also read some situations where one can be lesbian EXCEPT their one person, IF thats the case (and its a big IF because I never want to force her to be with me), what encouraging words can be said to affirm her lesbianism? I told her Id start defining her as lesbian, offering to stop having sex (she wants to keep having sex) and I tried everything to my knowledge, though I admit this is very out of my knowledge "zone" to be fair.

All in all please help us, she tells me over and over how she wants to be only with me, but she feels like she ignorers herself kinda by being with me? But she cant stomach to stay apart from me, even if we keep texting after breaking up.

Please, anyone and your kind words, anything to help us get through this, with or without eachother. She cant seem to leave either even if I give her the most seemingly perfect "outs".

God I love her so much I could die I just want to help her. Please share anything if you can :(

For the record, SHE was interested in the theory that she could need encouragement to be with a man as a lesbian, I did not force that topic whatsoever.

I just dont want to come fourth as anti-lesbian or hating towards her or anything because I only want my sweet girls best :(