I see you as a logical person and I say this wth outmost respect.
How can you support men pretending to be women just so they join women's sports and go perv in women bathrooms. This bullshit has to end!!!
Fists and foremost, let's clarify few things that I believe is prerequisite:
Anyone who transition from male to female because their motivation (predominantly) is sexual in nature, i.e. they like penis and want men to be attracted to them sexually, such as sisi’s and people who fetishize and fantasize to have female bodies to serve their sexual fantasies ARE NOT GENUINE trans-women! And they should NOT be bundled/mixed or associated with genuine trans-women whose motivation for transitioning is psychological in nature and NOT sexual!!!
The above is "in my opinion" and I truly believe in it.
Now that we put the above out of the way, let me answer your question.
Transgender is a broad term and can mean anything a person is transitioning from and/or to.
Not all transgender persons wish to be identified with one of the binary cis-genders. Some might be leaning more towards one or the other.
Example of this is a cis-male who is feminine-transgender and wants to be identified as a she/her but they are choosing to keep their male genitals unchanged.
However, If a transgender-person wants to transition and belong to a specific binary gender such as cis/pure female or cis/pure male and expects to be treated as such cis-gender, then they have the duty and obligation to transition (in all aspects) to that specific binary gender they are choosing. And until their transition is 100% complete (regardless of obstacles they face), they should expect the following:
People misgender them.
Can’t participate in specific cis-gender activities such as sports on a competitive level.
Issues when going to cis-gender specific bathrooms
…etc.
I say the above is because I believe that every individual is entitled to their own beliefs/opinions and can choose what they want to do in terms of their ideology that governs their being; as long as such ideology is not forced on others and does not take away from others, the right to choose for their own self.
Of Course, one can be kind enough to accommodate and be sympathetic to others' choices in terms of the genders they are choosing to identify with but in no way should it be forced or expected!
Q) So to your specific question about trans-women entering cis-women professional sports and whether they should be allowed or not?
A) I think, if a Trans-Woman fully transition from cis-male to trans-woman, which includes the absolutely-necessary (but not limited to) minimum steps:
Be on HRT (Hormone Replacement Therapy) for no less than 5 years, and continue to be on HRT (Hormone Replacement Therapy).
Do the bottom surgery.
Laser or electrolysis hair removal treatment.
Remove Adam's apple.
Voice feminization surgery.
If the above steps are completed, then such a person will lose all cis-male attributes and advantages and thus, I believe they should be allowed in all women venues including competing in women's professional sports.
The issue, people who oppose transgenders, are having is they see men in womens clothings/makeup identifying as women and forcing themselves on everyone because they think it’s their right to do so.
This above statement (its influence) came from the top down and not from the bottom up. It came from the establishment trying to influence, to divide people and pit them against each other, to distract everyone from the important and real issues that are robbing everyone's rights and freedoms away, and literally enslaving us all.
It is for this reason I also believe that, whoever falls for this charade and does not go after the real instigators of this fiasco which was all orchestrated by the law makers and the so called elected officials, using what I term as bad-LGBTQ+ paid-actors, in my opinion, such people (falling for all this) are the ignorant sheeple. And this goes both ways, the people who oppose transgender and the LGBTQ+ community.
Basically, NOTHING should be forced on ANYONE period!