Thanks, good to know. 
In college I dated a girl who played rugby. She was nearly as tall as I am, probably outweighed me, and may have been physically stronger than me. She was certainly much stronger than an average woman. We never arm-wrestled, and she wasn’t physically aggressive off the field, so I don’t know for sure.
Most of my dating time I spent actually trying to locate women to go out with. I don’t think I’d have turned any down for being too big in any way – I’ve dated women MUCH more rotund than I am (so I’ve dated women larger than me in that respect). I was too concerned about getting dates than finding fault with anyone who’d agree to go out.
I suspect that I’ve dated no women taller than me because of a filter on THEIR end – I’ve known of women who would not consider dating men shorter than themselves. Women friends have told me about plenty of “height junkies” who wouldn’t consider dating a guy under 6 feet tall.
An athlete/self-described Amazon. Probably stronger than me by most measures. Still, 8-10 cms shorter: Her 172-5, Me 184-5.
No difference. No contests of strength, there was the occasional endurance issue.
Two words: Xenia Onatopp. 
Me: 5’7", 170 lbs. Decent athlete but nothing special. Kind of wiry, I guess.
My wife: 6’0", c.210 lbs. Strong as an ox. On a hike around Eastern Europe she carried a pack up and down mountains that I couldn’t lug one block on a level sidewalk. On canoe trips, she’d carry the canoe on her back across portages, while I carried the pack.
My favorite story: she once hiked across England, and soon after tried out for a rowing team at her English college. They tested her in a rowing machine, wherein she sat and began rowing at a furious pace. They told her to slow down; no one could possibly keep that up for the entire test. She didn’t slow down until after she had finished. She made the team. 
Neither of us has any problems with our oddly-matched heights, though I think I’m the only guy she ever dated who was shorter than she was. We joke about it frequently. Specifically, we joke that if our daughters end up with my speed and eye-hand coordination, and her height and strength, they’ll be in the WNBA. If they end up with her speed and jumping ability, and my height and strength, they’ll be professional marshmallow impersonators.
Godzilla’s niece wants your phone number.
Another from the other side, I’m around 250lbs and 5’9" and until now have always dated large men. Actually, I don’t consider most guys large until they start edging past about 6’3" and/or 275 or so, I grew up in a family of bigger than average folk so my perspective is a bit skewed.
The love of my life is 5’10" and around 160 lbs. He’s a slender-framed guy who was much skinnier until I started feeding him, he’s gained about 25 lbs in the last couple of years. We’re oppositely proportioned, as well, so while he’s technically taller, he’s all arms and legs and I’m long-waisted. Standing next to each other is all good, but sit us side by side and I appear way taller.
Since I do physical work daily and he’s an office guy, besides our general physiology, it’s no secret between us that I’m substantially stronger than he is. He has a longer reach and gets things from the top shelves, I do all the heavy lifting and furniture moving.
Works for us. 
Dated a woman in college who was as strong as me. She was smaller than me (5’7" vs my 6’1") and lighter, but very athletic.
No negative repercussions at all. On the positive side, naked play-fighting was a lot more fun when either of us could pin the other.
And as a side note, top-level table tennis players have really strong thighs.
I briefly dated one girl in college who, at just over 6 feet, was about 2 inches taller than me. From some comments she made, it was an issue for her, though not enough of one for her to not date me. I was stronger than her, though, and could pick her up with relative ease even though she was a fairly meaty girl on top of being tall. She wasn’t exactly stable, so that relationship only lasted a couple of months.
I also dated a girl who was almost exactly the same height as me. It was kind of weird to not have to bend my neck to kiss her. I was with her off and on for several months. I don’t recall height being an issue other than the fact that she mentioned not wanting to wear heels when she was with me. Her dad was something like 6’6" and left-handed. He built their house to his preferences. No one but him was comfortable there and a side-effect was that everything felt small to her when she wasn’t at home.
My wife is tiny, one of the smallest women I’ve ever dated in fact. She’s 154 cm tall, which is just under 5"1’. The size issue there is that I practically have to pick her up to kiss or hug her comfortably.
Martha Medea - just under 5’8"
Mr Medea - barely scrapes the 5’2" mark
No issues. Some looks. The only people who have made direct comments about it are close family. One aunt said “his previous girlfriend was even bigger”. I probably weigh about 25lbs more than him. I don’t wear heels, but then I never did anyway.
His sisters (all under 5’ but who have all had children of average height and above) are watching our son’s development like hawks, in the hope that he takes after my side of the family. So far it seems to be going that way, as far as you can tell when the kid is 7.